Integral representations of generalized Lauricella hypergeometric functions
type: Item
instance of: scholarly article
title: Integral representations of generalized Lauricella hypergeometric functions
zbMATH Open document ID: 0876.33010
DOI: 10.1155/S0161171292000863
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/47733
full work available at URL: issue-4.html
review text: A generalized Lauricella function of several variables was introduced by \textit{H. M. Srivastava} and \textit{M. C. Daoust} [Indagationes Math. 31, 449-457 (1969; Zbl 0185.29803)]. New integral representations for this function and for the Lauricella functions \(F_A^{(n)}, F_C^{(n)}\), \(F_D^{(n)}\) are obtained, with the help of a result on Mellin transforms, under suitable restrictions on the parameters, and integral representations for Appell functions \(F_1\), \(F_2\) and \(F_4\) are deduced from the last three.
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 44A30
zbMATH DE Number: 147571
zbMATH Keywords: Lauricella functions
zbMATH Keywords: Appell functions
author: Vu Kim Tuan
author: Robert G. Buschman
reviewed by: K. M. Saksena
MaRDI profile type: Publication
OpenAlex ID: W2114427544
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description: scientific article; zbMATH DE number 147571