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<li class="toctree-l1"><a class="reference internal" href="000_Preface/01_preface.html">Preface</a></li>
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Getting started</span></p>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B01_GeneralUsage/index.html">Setup and general usage</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C01_Setup.html">Setting up XlCalcNet</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C02_MSExcel.html">Using XlCalcNet within MS Excel</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C03_LibreOfficeCalc.html">Using XlCalcNet within LibreOffice Calc</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C04_GuiFunctions.html">General user interface and functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B01_GeneralUsage/C05_ContextsMpmath.html">Mathematical functions based on Mpmath, Gmpy2 and Python-Flint (only Python)</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B03_ElementaryScalarFunctions/index.html">Elementary scalar functions (real and complex)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C04_Logarithms.html">Logarithms and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B03_ElementaryScalarFunctions/C05_PowerFunctions.html">Power functions</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B04_StatisticalDistributions/index.html">Statistical Distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C01_Intro.html">Introduction to random variables and distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B04_StatisticalDistributions/C02_BaseClass.html">Base class for univariate distributions</a></li>
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<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/index.html">Closed form distributions, based on elementary functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D01_Arcsine.html">Boost: Arcsine Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D02_Cauchy.html">Boost: Cauchy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D03_Exponential.html">Boost: Exponential distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D04_Gumbel.html">Boost: Gumbel (Generalized Extreme Value distribution Type-I) distribution</a></li>
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<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D06_Kumaraswamy.html">!!!Boost: Kumaraswamy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D07_Laplace.html">Boost: Laplace distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D08_Logistic.html">Boost: Logistic distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D09_Pareto.html">Boost: Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D10_Rayleigh.html">Boost: Rayleigh distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D11_Triangular.html">Boost: Triangular Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D12_Uniform.html">Boost: Uniform distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D13_Weibull.html">Boost: Weibull (Minimum-Type-III) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D14_Dagum.html">Dagum (Burr Type III) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D15_Fisk.html">Fisk (log-logistic) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D16_Frechet.html">Fréchet (Maximum/Minimum-Type-II or Inverse Weibull) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D17_GEV.html">Generalized Extreme Value (Maximum) or GEV distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D18_GeneralizedPareto.html">Generalized Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D19_GompertzMakeham.html">Gompertz-Makeham distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D20_Lomax.html">Lomax distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D21_ShiftedGompertz.html">Shifted Gompertz distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C05_ElementaryPart/D22_SinghMaddala.html">Singh-Maddala (Burr Type XII) distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/index.html">Closed form distributions, based on the error function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D01_Levy.html">!!!Boost: Lévy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D02_Lognormal.html">Boost: Lognormal (Johnson <span class="math notranslate nohighlight">\(S_L\)</span>) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D03_Moyal.html">!!!Boost: Moyal Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D04_Normal.html">Boost: Normal (Johnson <span class="math notranslate nohighlight">\(S_N\)</span>) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D05_SkewNormal.html">Boost: Skew normal Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D06_Wald.html">Boost: Wald (or Inverse Gaussian) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D07_BirnbaumSaunders.html">Birnbaum-Saunders Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D08_ExponentialModifiedGaussian.html">Exponentially Modified Gaussian (EMG) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D09_FoldedNormal.html">Folded normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D10_HalfNormal.html">Half-normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D11_JohnsonSB.html">Johnson <span class="math notranslate nohighlight">\(S_B\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D12_JohnsonSU.html">Johnson <span class="math notranslate nohighlight">\(S_U\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D13_NormalMaximum.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = 0\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D14_NormalMaximumModulus.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = 0\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D15_SinhAsinhNormal.html">Sinh-arcsinh normal distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C06_ErrorFunction/D16_TruncatedNormal.html">Truncated normal distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/index.html">Closed form distributions, based on the incomplete gamma function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D01_Chi.html">!!!Boost: Chi Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D02_Chi2.html">Boost: Chi2 distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D03_Gamma.html">Boost: Gamma (Pearson Type III, Erlang) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D04_InverseChiSquared.html">Boost: Inverse chisquared distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D05_InverseGamma.html">Boost: Inverse Gamma (Pearson Type V) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D06_Maxwell.html">!!!Boost: Maxwell Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D07_Nakagami.html">!!!Boost: Nakagami distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D08_Amoroso.html">Amoroso distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D09_LogChiSquared.html">Distribution of the logarithm of a <span class="math notranslate nohighlight">\(\chi^2\)</span> random variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D10_Hypoexponential.html">Hypoexponential (Generalized Erlang) Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D11_Lindley.html">Lindley distribution (generalized)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D12_SkewExpPower.html">Skew exponential power distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C07_IncompleteGamma/D13_Stacy.html">Stacy (generalized gamma) distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/index.html">Closed form distributions, based on the incomplete beta function</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D01_Beta.html">Boost: Beta (Pearson Type I and II) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D02_CentralFisherF.html">Boost: Central Fisher F distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D03_StudentT.html">Boost: Student <span class="math notranslate nohighlight">\(t\)</span> (Pearson Type VII) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D04_LogBeta.html">Distribution of the negative logarithm of a beta variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D05_BetaPrime.html">Beta-prime (Pearson Type VI) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D06_GeneralizedBetaType1.html">Generalized Beta (Type 1) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D07_GeneralizedBetaType2.html">Generalized Beta (Type 2) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D08_GeneralizedLogistic.html">Generalized logistic distribution (JKB Types I - IV)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D09_GeneralizedBetaExponential.html">Generalized beta-exponential distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D10_FellerPareto.html">Feller-Pareto distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D11_FisherZ.html">Fisher <span class="math notranslate nohighlight">\(z\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D12_SkewT.html">Skew t-distribution (Jones)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C08_IncompleteBeta/D13_PearsonRhoH0.html">Pearson’s rho distribution (under <span class="math notranslate nohighlight">\(H_0\)</span>)</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/index.html">Noncentral distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D01_noncentral_chi_squared.html">Boost: Noncentral <span class="math notranslate nohighlight">\(\chi^2\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D02_noncentral_student_t.html">Boost: Noncentral Student <span class="math notranslate nohighlight">\(t\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D03_noncentral_fisher_f.html">Boost: Noncentral Fisher <span class="math notranslate nohighlight">\(F\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D04_noncentral_beta_type_I.html">Boost: Noncentral Beta Type I distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D05_noncentral_chi.html">Noncentral Chi distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D06_rice.html">Rice (Nakagami-n) distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D07_noncentral_pearson_rho.html">Noncentral distribution of the sample correlation coefficient</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D08_noncentral_beta_type_II.html">Distribution of the logarithm of a noncentral Beta Type II variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D09_noncentral_R2_type_I.html">Noncentral distribution (Type I) of Fisher’s <span class="math notranslate nohighlight">\(R^2\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D10_noncentral_R2_type_II.html">Distribution of the logarithm of a noncentral Fisher <span class="math notranslate nohighlight">\(1-R^2\)</span> variable</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D11_doubly_noncentral_student_t.html">Doubly non-central Student <span class="math notranslate nohighlight">\(t\)</span> distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C09_Noncentral/D12_doubly_noncentral_fisher_f.html">Doubly non-central Fisher <span class="math notranslate nohighlight">\(F\)</span> distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/index.html">Distributions related to multiple comparisons of means</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D01_MCP_introduction.html">Overview and literature</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D02_nmax_rho.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \rho\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D03_nmm_rho.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \rho\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D04_nmax_rhoij.html">Normal maximum distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D05_nmm_rhoij.html">Normal maximum modulus distribution, <span class="math notranslate nohighlight">\(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D06_normal_range.html">Normal range distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D07_studentized_maximum.html">Studentized maximum distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D08_studentized_maxmod.html">Studentized maximum modulus distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D09_dunnett1_t.html">Distribution of Dunnett’s <span class="math notranslate nohighlight">\(t\)</span>, one-sided</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D10_dunnett2_t.html">Distribution of Dunnett’s <span class="math notranslate nohighlight">\(t\)</span>, two-sided</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D11_nair_t.html">Nair’s <span class="math notranslate nohighlight">\(t\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D12_halperin_t.html">Halperin’s <span class="math notranslate nohighlight">\(t\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D13_nelson_h.html">Nelson’s <span class="math notranslate nohighlight">\(h\)</span>-distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C10_MCP/D14_studentized_range.html">Studentized range distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/index.html">Distributions related to multivariate statistical analysis</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D01_logrv_betaprod.html">Distribution of the sum of the negative logarithms of independent beta variables</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D02_betaprod.html">Distribution of the product of independent beta variables</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D03_central_wilks_lambda.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D04_wilks_lc.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(L_{vc}\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D05_wilks_lcm.html">Distribution of Wilks’ <span class="math notranslate nohighlight">\(L_{vcm}\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D06_wilks_ip.html">Distribution of Wilks’ test of independence of <span class="math notranslate nohighlight">\(p\)</span> variates</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D07_wilks_iblocks.html">Distribution of Wilks’ test of independence of <span class="math notranslate nohighlight">\(k\)</span> groups of variates</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D08_mauchly.html">Distribution of Mauchly’s test of sphericity vs general structure</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D09_box_samesize_cov.html">Distribution of Box’s test of equality of covariance matrices, equal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D10_box_cov.html">Distribution of Box’s test of equality of k covariance matrices, unequal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D11_box_mvn.html">Distribution of Box’s test for same multivariate normal distributions, unequal sample sizes</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D12_lrt_s0.html">Distribution of the modified likelihood ratio test (LRT) for a given covariance matrix</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D13_lrt_x0_s0.html">Distribution of the modified likelihood ratio test (LRT) for a given covariance matrix and mean vector</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D14_central_roy_largest_root.html">Central distribution of Roy’s largest root</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D15_central_pillai_v.html">Central distribution of Pillai’s <span class="math notranslate nohighlight">\(V\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D16_central_hotelling_t2.html">Central distribution of Hotelling’s <span class="math notranslate nohighlight">\(T^2\)</span></a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D17_noncentral_wilks_lambda_manova.html">Noncentral Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span>: MANOVA</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C11_Multivariate/D18_noncentral_wilks_lambda_canoncorr.html">Noncentral Distribution of Wilks’ <span class="math notranslate nohighlight">\(\Lambda\)</span>: Canonical Correlation</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/index.html">Miscellaneous continuous distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D01_KolmogorovSmirnov.html">Boost: Kolmogorov-Smirnov distribution (limiting form)</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D02_landau.html">Boost: Landau Distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D03_Holtsmark.html">Boost: Holtsmark distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D04_MapAiry.html">Boost: Map-Airy distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C12_MiscContinuous/D05_Saspoint5.html">Boost: Saspoint5 distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/index.html">Elementary discrete (lattice) distributions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D01_Bernoulli.html">Boost: Bernoulli distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D02_geometric.html">Boost: Geometric distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D03_poisson.html">Boost: Poisson distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D04_binomial.html">Boost: Binomial distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D05_negative_binomial.html">Boost: Negative binomial distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C13_ElementaryDiscrete/D06_hypergeometric.html">Boost: Classical hypergeometric distribution</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/index.html">Discrete (lattice) distributions related to (stratified) rank tests</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D01_wilcoxon_signed_rank_t.html">Wilcoxon signed rank T distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D02_wilcoxon_bennett.html">Noncentral Wilcoxon signed rank T distribution, Bennett alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D03_mann_whitney_u.html">Mann-Whitney U distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D04_mann_whitney_u_lehmann.html">Noncentral Mann-Whitney U distribution, Lehmann alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D05_mann_whitney_u_milton.html">Noncentral Mann-Whitney U distribution, Milton alternatives</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D06_kendalls_tau.html">Kendall’s tau distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D07_jonckheere_terpsta_s.html">Jonckheere-Terpsta <span class="math notranslate nohighlight">\(T\)</span> distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D08_page_l.html">Generalized Page <span class="math notranslate nohighlight">\(L\)</span> distribution, continuous data</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C14_LattticeRank/D09_page_l_milton.html">Noncentral generalized Page <span class="math notranslate nohighlight">\(L\)</span> distribution, Milton alternatives</a></li>
</ul>
</details></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/index.html">Discrete (non-lattice) distributions related to rank tests</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/D01_friedman.html">Cochran-Friedman-Quade distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="B04_StatisticalDistributions/C15_NonLatticeRank/D02_kruskal_wallis.html">Kruskal-Wallis distribution</a></li>
</ul>
</details></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B05_NumericalCalculus/index.html">Numerical calculus</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C01_Introduction.html">Introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C02_DAmathRootfinding.html">DAMath: Numerical Rootfinding and Minimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C03_BoostRootfinding.html">Boost/Math: Root Finding and Minimization Algorithms</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C04_MpMathRootfindingOptimisation.html">Mpmath: Rootfinding and optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C05_DAmathQuadrature.html">DAMath: Numerical Quadrature</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C06_BoostQuadrature.html">Boost/Math: Numerical integration</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C07_MpMathIntegration.html">Mpmath: Numerical integration</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C08_MpMathInverseLaplaceTransform.html">Mpmath: Numerical inverse Laplace transform</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C09_BoostOdeint.html">Boost/Odeint: Ordinary differential equations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C10_MpMathDifferentiation.html">Mpmath: Numerical differentiation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C11_MpMathAsymptoticExpansions.html">Mpmath: Asymptotic expansions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C12_MpMathFunctionsApproximation.html">Mpmath: Function approximation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C13_MpMathSumsLimits.html">Mpmath: Sums, products, limits and extrapolation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C14_MpMathPolynomials.html">Mpmath: Polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C15_EigenMinPack.html">Eigen/MinPack: non linear optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="B05_NumericalCalculus/C16_EigenCppOptLib.html">Eigen/CppOptLib: multidimensional optimization</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B06_EigenDenseAndSparse/index.html">Eigen: Dense and Sparse Matrices</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C01_CreatingMatrices.html">Creating scalars and matrices</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C02_ReadOnlyProperties.html">Read-only properties: information about a matrix</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C03_GettingAndSetting.html">Accessing and setting parts of a matrix</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C04_ChangeShapeOrder.html">Changing the shape of a matrix and/or the order of coefficients</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C05_BasicArithmeticOperations.html">Basic arithmetic operations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C06_DescriptiveStatistics.html">Descriptive Statistics</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C07_StandardDecompositions.html">Standard decompositions and linear solving</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C08_SvdAndEigenSA.html">Singular Value and Eigen (selfadjoint) decompositions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C09_GeneralEigensystems.html">Eigen decompositions of general square matrices</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C10_EigenPolynomials.html">Eigen: Polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C11_EigenFFT.html">Eigen: Fast Fourier Transform</a></li>
<li class="toctree-l2"><a class="reference internal" href="B06_EigenDenseAndSparse/C12_EigenFunctionsOfMatrixArgument.html">Eigen and Numpy (Multiprecision): Functions of matrix argument</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B07_NumpyMultiprecision/index.html">Numpy: use with multiprecision data types</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C01_ArraysFromShapeOrValue.html">Numpy array creation from shape or value</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C02_ArraysFromExistingData.html">Numpy array creation from existing data</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C03_ArraysForNumericalWork.html">Building special arrays for numerical work</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C04_NumpyIndexing.html">Numpy indexing</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C05_BasicArrayManipulation.html">Numpy basic array manipulation routines</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C06_TransposeLikeOperations.html">Numpy array manipulation: Transpose-like operations</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C07_ChangingNumberOfDimensions.html">Numpy array manipulation: Changing number of dimensions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C08_JoiningArrays.html">Numpy array manipulation: Joining arrays</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C09_SplittingAndTilingArrays.html">Numpy array manipulation: Splitting and tiling arrays</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C10_AddingAndRemovingElements.html">Numpy array manipulation: Adding and removing elements</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C11_RearrangingElements.html">Numpy array manipulation: Rearranging elements</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C12_Sorting.html">Numpy array manipulation: Sorting</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C13_Searching.html">Numpy array manipulation: Searching</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C14_SumsProductsDifferences.html">Numpy mathematical functions: Sums, products, differences</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C15_ExtremaFinding.html">Numpy mathematical functions: Extrema Finding</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C16_ArithmeticElementwise.html">Numpy mathematical functions: Arithmetic operations, elementwise</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C17_AveragesAndVariances.html">Numpy mathematical functions: Averages and variances</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C18_MatrixAndVectorProducts.html">Numpy mathematical functions: Matrix and vector products</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C19_TruthValueTesting.html">Numpy logical functions: Truth value testing</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C20_IntegerAndFractional.html">Numpy mathematical functions: Integer and fractional</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C21_Miscellaneous.html">Numpy mathematical functions: Miscellaneous</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C22_NumpyUtilityFunctions.html">Summary and examples: Numpy utility functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C23_ArithmeticScalarsAndIterables.html">Arithmetic operations with scalars and iterables</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C24_DescriptiveStatistics.html">Numerical transformations and descriptive statistics</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C25_LinearSolving.html">Standard decompositions and linear solving</a></li>
<li class="toctree-l2"><a class="reference internal" href="B07_NumpyMultiprecision/C26_EigenAndSVD.html">Singular Value and Eigen decompositions</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Special Functions</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B08_EllipticFunctions/index.html">Elliptic functions and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C01_CarlsonIntegrals.html">Carlson symmetric elliptic integrals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C02_MathematicaIntegrals.html">Legendre elliptic integrals (elliptic parameter <span class="math notranslate nohighlight">\(m\)</span>)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C03_LegendreIntegrals.html">Legendre elliptic integrals (elliptic modulus <span class="math notranslate nohighlight">\(k\)</span>), and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C04_JacobiEllipticFunctions.html">Jacobi elliptic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C05_JacobiThetafunctions.html">Jacobi theta functions and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C06_WeierstrassConversions.html">Conversions of parameters of Weierstrass <span class="math notranslate nohighlight">\(\wp\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C07_WeierstrassTau.html">Weierstrass elliptic functions, in terms of elliptic period ratio <span class="math notranslate nohighlight">\(\tau\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B08_EllipticFunctions/C08_ModularFormsTau.html">Modular forms, in terms of half-period <span class="math notranslate nohighlight">\(\omega_1\)</span> and elliptic period ratio <span class="math notranslate nohighlight">\(\tau\)</span></a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B09_LerchPhi/index.html">Lerch’s phi and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C01_LerchPhi.html">Lerch’s transcendent and Lerch’s zeta</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C02_Polygamma.html">Polygamma and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C03_Polylogarithm.html">Polylogarithm and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C04_HurwitzZeta.html">Hurwitz zeta and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B09_LerchPhi/C05_RiemannZeta.html">Riemann zeta function, and related functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B10_Hypergeometric0F1/index.html">Hypergeometric function <span class="math notranslate nohighlight">\(\,_0F_1\)</span> and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C01_Hyper0F1.html">Hypergeometric Limit Function <span class="math notranslate nohighlight">\(\,_0F_1\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C02_BesselGeneral.html">Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C03_ModifiedBessel.html">Modified Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C04_SphericalBessel.html">Spherical Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C05_ModifiedSphericalBessel.html">Modified spherical Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C06_HankelFunctions.html">Hankel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C07_AiryFunctions.html">Airy functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B10_Hypergeometric0F1/C08_KelvinFunctions.html">Kelvin functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B11_Hypergeometric1F1/index.html">Hypergeometric function <span class="math notranslate nohighlight">\(\,_1F_1\)</span> and related</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C01_Hyper1F1.html">Hypergeometric Functions <span class="math notranslate nohighlight">\(\,_1F_1\)</span> (Kummer) and <span class="math notranslate nohighlight">\(U\)</span> (Tricomi)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C02_IncompleteGamma.html">Incomplete gamma functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C03_CoulombPcf.html">Coulomb, Whittaker and parabolic cylinder function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C04_ErrorFunction.html">Error function and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B11_Hypergeometric1F1/C05_ExponentialIntegrals.html">Exponential integrals, and related functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B12_HypergeometricpFq/index.html">Hypergeometric functions <span class="math notranslate nohighlight">\(\,_2F_1\)</span> and <span class="math notranslate nohighlight">\(\,_1F_2\)</span> (and related functions)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C01_Hyper2F1.html">Gauss Hypergeometric Function <span class="math notranslate nohighlight">\(\,_2F_1\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C02_ChebyshevPoly.html">Chebyshev, Gegenbauer and Jacobi polynomials</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C03_LegendrePoly.html">Legendre polynomials and related</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C04_Incomplete_Beta.html">Incomplete beta functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C05_Hyper1F2.html">Hypergeometric function <span class="math notranslate nohighlight">\({}_1F_2\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C06_ScorerFunctions.html">Scorer functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C07_StruveFunctions.html">Struve functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B12_HypergeometricpFq/C08_Anger_Weber_Lommel_Functions.html">Anger, Weber and Lommel functions</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Supporting Functions</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B13_AlgebraWithRandomVariables/index.html">Algebra with random variables</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C01_ProbabilityDensityFunction.html">Probability density function (pdf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C02_ProbabilityMassFunction.html">Probability mass function (pmf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C03_CumulativeDistributionFunction.html">Cumulative distribution function (cdf)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C04_QuantileFunction.html">Quantile function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C05_CharacteristicFunction.html">Characteristic function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C06_MomentGeneratingFunction.html">Moment generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C07_CumulantGeneratingFunction.html">Cumulant generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C08_ProbabilityGeneratingFunction.html">Probability generating function</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C09_FactorialMoments.html">Factorial Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C10_RawMoments.html">Raw Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C11_CentralMoments.html">Central Moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B13_AlgebraWithRandomVariables/C12_Cumulants.html">Cumulants</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B14_SeriesAndIntegrals/index.html">Series and integrals</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C01_FiniteSeries.html">Finite series algorithms for selected distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C02_InfiniteSeries.html">Infinite series algorithms for selected functions and distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C03_LatticeSeries.html">Finite series for lattice distributions, based on factorial moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C04_IntegrationBellShaped.html">Efficient integration of bell-shaped functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B14_SeriesAndIntegrals/C05_VerifiedNumericalIntegration.html">Verified numerical integration</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B15_PmfVectors/index.html">Pmf vectors</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C01_BasicDiscrete.html">Basic discrete (lattice) distribution functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C02_Lattice.html">Discrete (lattice) distribution functions related to (stratified) rank tests</a></li>
<li class="toctree-l2"><a class="reference internal" href="B15_PmfVectors/C03_NonLattice.html">Discrete (non-lattice) distribution functions related to rank tests</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B16_FastApproximations/index.html">Fast approximations</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C01_NormalDistribution.html">Approximations based on the normal distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C02_ChiSquared.html">Approximations based on the chi-squared distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C03_CentralTFBeta.html">Approximations based on the central <span class="math notranslate nohighlight">\(t\)</span>, <span class="math notranslate nohighlight">\(F\)</span> or beta distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C04_NoncentralChiSquared.html">Approximations based on the noncentral chi-squared distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C05_NoncentralFBeta.html">Approximations based on the noncentral F or beta distribution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B16_FastApproximations/C06_Butler.html">Approximations based on hypergeometric functions of scalar argument</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Gallery of Plots</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B17_VisualisationOfDatasets/index.html">Visualisation of datasets</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C01_BarCharts.html">Bar Charts</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C02_LineCharts.html">Line and lollipop charts</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C03_AreaPlots.html">Area Plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C04_BoxViolinRaincloudPlots.html">Boxplot, Violinplot and Raincloud plot</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C05_CorrelationAndRegression.html">Correlation and regression</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C06_Finance.html">Financial plots (requires mplfinance)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C07_Cartopy.html">Geographic data (requires cartopy)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C08_Geopandas.html">Geographic data (requires geopandas)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C09_PartsOfAWhole.html">Parts of a whole</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C10_Dendrograms.html">Dendrograms, heatmaps and clustermaps</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C11_PlotTable.html">PlotTable</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C12_Flow.html">Flow and connections</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C13_CircularPlotsAndFlows.html">Circular plots and flows</a></li>
<li class="toctree-l2"><a class="reference internal" href="B17_VisualisationOfDatasets/C14_Networkx.html">Network data (requires networkx)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/index.html">Visualisation of functions and curves (2D)</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C01_Intro_Parametric2D.html">Introduction to 2D functions plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C02_BasicCurves.html">Basic curves</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C03_Spirals.html">Spirals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C04_DecorativeCurves.html">Decorative curves</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C05_GeneralCurveFamilies.html">General curve families</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C06_Fieldlines.html">Field lines</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C07_Contours.html">Contours</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C08_Complex.html">Complex functions rendered as contours</a></li>
<li class="toctree-l2"><a class="reference internal" href="B18_FunctionsAndCurvesPlots/C09_StreamsBarbsQuivers.html">Streams, barbs and quivers (some require cartopy)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B19_Bitmaps/index.html">Bitmaps</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C01_IntroFractals.html">Fractals: introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C02_MandelbrotSet.html">Fractals related to the Mandelbrot set</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C03_JuliaSet.html">Fractals related to the Julia set</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C04_NewtonFractals.html">Newton Fractals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B19_Bitmaps/C05_DomainColoring.html">Domain coloring</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B20_Matplotlib3D/index.html">Matplotlib 3D Graphics</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C01_Introduction.html">Introduction</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C02_BasicExamples.html">Matplotlib: 3D Graphics (from Matplotlib tutorials)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C03_BasicGeometricFigures.html">S3dlib: Basic geometric figures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C04_RealFunctions.html">S3dlib: Real functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C05_ParametricSurfaces.html">S3dlib: Parametric Surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C06_ImageMappingAndClipping.html">S3dlib: Image mapping and clipping</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C07_EdgeToEdgeSurfaceColoring.html">S3dlib: Edge-to-edge surface coloring</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C08_DecorativeSurfaces.html">S3dlib: Decorative parametric surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C09_GeometricDataGridMapping.html">S3dlib: Geometric and color datagrid mapping (requires scipy)</a></li>
<li class="toctree-l2"><a class="reference internal" href="B20_Matplotlib3D/C10_ImplicitSurfaces.html">S3dlib: Implicit surfaces (requires scikit-image)</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B21_Plotly/index.html">Plotly</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C01_GeneralSurface.html">General surface plots in 3D</a></li>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C02_GeographicalPlots.html">Geographical plots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B21_Plotly/C03_SankeyPlots.html">Sankey plots</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Interactive 3D Wpf Plots</span></p>
<ul class="nav bd-sidenav">
<li class="toctree-l1 has-children"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/index.html">Wpf: Altitude surfaces in 3D, real and complex functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C01_Intro.html">Special techniques for height surfaces, real and complex functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C02_Scatterplots_3D.html">Scatterplots and building 3D scenes</a></li>
<li class="toctree-l2"><a class="reference internal" href="B22_WpfAltitudeSurfacesRealAndComplex/C03_RealFunctions.html">Height plots of general bivariate real functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B23_WpfParametricSurfaces/index.html">Wpf: Parametric surfaces</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C01_TranslationSurfaces.html">Surfaces of translation</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C02_SurfacesOfRevolution.html">Surfaces of revolution</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C03_GeneralisationsOfSurfaces.html">Generalisations of common surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C04_MinimalSurfaces.html">Minimal surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C05_NonorientableSurfaces.html">Nonorientable (one-sided) Surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B23_WpfParametricSurfaces/C06_DecorativeParametricSurfaces.html">Decorative parametric surfaces</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B24_WpfPathSurfaces/index.html">Wpf: Path surfaces in 3D</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C01_Introduction.html">Introduction to path surfaces</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C02_FunctionsR2C.html">Functions with real input and complex results</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C03_CharacteristicFunctions.html">Characteristic functions of statistical distributions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C04_HelicesAndRelated.html">Helices and related curves traced on cylinders, cones and spheres</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C05_CoilSprings.html">(Coil) springs</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C06_GeneralKnots.html">General knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C07_TorusKnots.html">Torus knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C08_LissajousKnots.html">Lissajous knots</a></li>
<li class="toctree-l2"><a class="reference internal" href="B24_WpfPathSurfaces/C09_PolynomialKnots.html">Polynomial knots</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B25_WpfBuiltInSurfaces/index.html">Wpf: Built-in 3D objects</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C01_SolidsWithTextures.html">Builtin solids with support for textures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C02_SolidsWithoutTextures.html">Builtin solids without support for textures</a></li>
<li class="toctree-l2"><a class="reference internal" href="B25_WpfBuiltInSurfaces/C03_PlatonicSolids.html">Platonic solids, and related solids</a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Additional functions in double precision</span></p>
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<li class="toctree-l1 has-children"><a class="reference internal" href="B26_MoreElementary/index.html">Real elementary functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B26_MoreElementary/C01_ExpLogPower.html">Root, exponential, logarithmic and power functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B26_MoreElementary/C02_Trigonometric.html">Trigonometric functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B26_MoreElementary/C03_Hyperbolic.html">Hyperbolic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B26_MoreElementary/C04_Gamma.html">Gamma functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B27_MoreElliptic/index.html">Real elliptic functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C01_ConversionsElliptic.html">Conversions of parameters of elliptic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C02_AdditionalEllipticIntegrals.html">Elliptic integrals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C03_BulirschIntegrals.html">Bulirsch elliptic integrals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C04_MapleIntegrals.html">Maple style elliptic integrals</a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C05_JacobiTheta.html">Jacobi theta functions at <span class="math notranslate nohighlight">\(x=0\)</span> for <span class="math notranslate nohighlight">\(0 \le q <1\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C06_InverseJacobiEllipticFunctions.html">Inverse Jacobi elliptic functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B27_MoreElliptic/C07_LemniscateFunctions.html">Lemniscate functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B28_MoreLerchPhi/index.html">Real functions related to Lerchs phi</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B28_MoreLerchPhi/C01_Polygamma.html">Polygamma, and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B28_MoreLerchPhi/C02_Polylogarithm.html">Polylogarithm, and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B28_MoreLerchPhi/C03_RiemannZeta.html">Riemann zeta, and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B28_MoreLerchPhi/C04_Miscellaneous.html">Miscellaneous functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B29_More0F1/index.html">Real functions related to <span class="math notranslate nohighlight">\(\,_0F_1\)</span></a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B29_More0F1/C01_BesselIntegerOrder.html">Bessel functions of integer order</a></li>
<li class="toctree-l2"><a class="reference internal" href="B29_More0F1/C02_ModifiedBesselIntegerOrder.html">Modified Bessel functions of integer order</a></li>
<li class="toctree-l2"><a class="reference internal" href="B29_More0F1/C03_BesselIntegrals.html">Integrals of zero-order Bessel functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B29_More0F1/C04_KelvinFunctions.html">Kelvin functions of order 0</a></li>
<li class="toctree-l2"><a class="reference internal" href="B29_More0F1/C05_SynchrotronFunctions.html">Synchrotron functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B30_More1F1AndOther/index.html">Real functions related to <span class="math notranslate nohighlight">\(\,_1F_1\)</span></a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B30_More1F1AndOther/C01_IncompleteGamma.html">Incomplete gamma functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B30_More1F1AndOther/C02_CoulombWave.html">Coulomb wave functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B30_More1F1AndOther/C03_ErrorFunctions.html">Error function, and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B30_More1F1AndOther/C04_ExponentialIntegrals.html">Exponential integrals, and related functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B30_More1F1AndOther/C05_Struve.html">Struve functions</a></li>
</ul>
</details></li>
<li class="toctree-l1 has-children"><a class="reference internal" href="B31_MoreComplex/index.html">Real and complex functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C01_Elementary.html">Additional elementary complex functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C02_NevilleThetaFunctions.html">Neville theta functions</a></li>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C03_WeierstrassConversions.html">Conversions of parameters of Weierstrass <span class="math notranslate nohighlight">\(\wp\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C04_WeierstrassG2G3.html">Weierstrass elliptic functions, in terms of (real) lattice invariants <span class="math notranslate nohighlight">\(g_2, g_3\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C05_WeierstrassE1E2.html">Weierstrass elliptic functions, in terms of (real) lattice roots <span class="math notranslate nohighlight">\(e_1, e_2\)</span></a></li>
<li class="toctree-l2"><a class="reference internal" href="B31_MoreComplex/C06_WeierstrassOmega.html">Weierstrass elliptic functions, in terms of lattice half-periods <span class="math notranslate nohighlight">\(\omega_1\)</span> and <span class="math notranslate nohighlight">\(\omega_2\)</span></a></li>
</ul>
</details></li>
</ul>
<p aria-level="2" class="caption" role="heading"><span class="caption-text">User library: numerical</span></p>
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<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D01_UserlibPython.html">User defined functions based on multiple precision arithmetic (Python)</a></li>
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<li class="toctree-l2"><a class="reference internal" href="C01_UserGeneral/D04_ComplexFunctions.html">Scalar functions</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="C02_UserDistributions/index.html">Distribution functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D01_MCP_distribution.html">Distributions related to multiple comparisons of means</a></li>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D02_Rank_test_lattice%20distributions.html">Discrete (lattice) distribution functions related to (stratified) rank tests</a></li>
<li class="toctree-l2"><a class="reference internal" href="C02_UserDistributions/D03_Rank_test_nonlattice%20distributions.html">Discrete (non-lattice) distribution functions related to rank tests</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="C03_UserInferentialStatistics/index.html">Inferential statistics</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D01_BasicTests1Sample.html">Basic classical statistical tests (stratified)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D02_BasicTests2IndepSamples.html">Basic classical statistical tests for 2 independent samples (stratified)</a></li>
<li class="toctree-l2"><a class="reference internal" href="C03_UserInferentialStatistics/D03_BasicTests2CorrSamples.html">Basic classical statistical tests for 2 correlated samples (stratified)</a></li>
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">User library: graphics</span></p>
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<li class="toctree-l1 has-children"><a class="reference internal" href="C05_UserDistributionPlots/index.html">Distribution functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C05_UserDistributionPlots/C01_Intro_Parametric2D.html">Introduction to 2D functions plots</a></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="C06_UserSpecialCplxPlots/index.html">Distribution functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
<li class="toctree-l2"><a class="reference internal" href="C06_UserSpecialCplxPlots/C07_WeierstrassTau.html">Weierstrass elliptic functions, in terms of elliptic period ratio <span class="math notranslate nohighlight">\(\tau\)</span></a></li>
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<p aria-level="2" class="caption" role="heading"><span class="caption-text">Back matter</span></p>
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</li>
</ul>
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name="q"
id="search-input"
placeholder="Search..."
aria-label="Search..."
autocomplete="off"
autocorrect="off"
autocapitalize="off"
spellcheck="false"/>
<span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span>
</form>
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Last updated on Oct 08, 2026.
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