On the finite sum representations of the Lauricella functions \(F_{D}\)

DOI10.1007/s10444-004-1838-0zbMath1074.33013OpenAlexW2039214402WikidataQ64385082 ScholiaQ64385082MaRDI QIDQ1776162

Ping Zhou, Jie-qing Tan

Publication date: 20 May 2005

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

Full work available at URL: https://doi.org/10.1007/s10444-004-1838-0

zbMATH Keywords

divided differencesLauricella functionsGauss hypergeometric functionsfinite sum representations

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (3)

Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables ⋮ On the finite sum representations and transcendence properties of the Lauricella functions \(F_D\) ⋮ General order multivariate Padé approximants for Pseudo-multivariate functions. II

Cites Work

• Some integrals involving the Lauricella functions and the multivariable H-function
• Exploring multivariate Padé approximants for multiple hypergeometric series
• A finite sum representation of the Appell series \(F_1 (a, b, b^{\prime}; c; x, y)\)
• Explicit construction of general multivariate Padé approximants to an Appell function
• Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\)
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