Laplace approximation of Lauricella functions \(F_A\) and \(F_D\)

DOI10.1007/s10444-014-9397-5zbMath1336.33008OpenAlexW2023532494MaRDI QIDQ269182

Ronald W. Butler, Andrew T. A. Wood

Publication date: 18 April 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9397-5

zbMATH Keywords

Gauss hypergeometric functionLauricella functionsvector-argument hypergeometric functions

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Uses Software

• DLMF

Cites Work

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• On the computation of Lauricella functions of the fourth kind
• The Markov-Krein correspondence in several dimensions
• Laplace approximation for Bessel functions of matrix argument
• Laplace approximations for hypergeometric functions with matrix argument
• Means of a Dirichlet process and multiple hypergeometric functions.
• Total positivity properties of generalized hypergeometric functions of matrix argument
• Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli
• Multiple Hypergeometric Functions: Probabilistic Interpretations and Statistical Uses
• On the Asymptotic Evaluation of a Class of Multiple Integrals Involving a Parameter