Lauricella and Humbert functions through probabilistic tools

DOI10.1080/10652460802645750zbMath1232.33022OpenAlexW2051964835MaRDI QIDQ3391694

Jacek Wesołowski, Jean-François Chamayou

Publication date: 12 August 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802645750

zbMATH Keywords

independenceDirichlet distributionneutralitybeta distributionLauricella functionsintegral identitiesHumbert function

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Other hypergeometric functions and integrals in several variables (33C70) Laplace transform (44A10) Appell, Horn and Lauricella functions (33C65)

Related Items (6)

On the kernel of the -Generalized fourier transform ⋮ Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees ⋮ Analytic continuation of the Lauricella function with arbitrary number of variables ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ The Dunkl kernel and intertwining operator for dihedral groups ⋮ Dunkl intertwining operator for symmetric groups

Cites Work

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• A probabilistic proof of Gauss' \(_ 2F_ 1\) identity
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• Tailfree and neutral random probabilities and their posterior distributions
• Means of a Dirichlet process and multiple hypergeometric functions.
• A Bayesian analysis of some nonparametric problems
• The Dirichlet distribution and process through neutralities
• Algebraic Evaluations of Some Euler Integrals, Duplication Formulae for Appell's Hypergeometric Function F₁, and Brownian Variations

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