Recurrence relations of the multiple hypergeometric function of Srivastava and Daoust and the multivariable H-function of Srivastava and Panda
type: Item
instance of: scholarly article
title: Recurrence relations of the multiple hypergeometric function of Srivastava and Daoust and the multivariable H-function of Srivastava and Panda
zbMATH Open document ID: 0614.33009
author: R. C. Singh Chandel
author: Anil K. Gupta
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The authors begin by deriving several multiple integral representations for the generalized Lauricella hypergeometric function of several variables, which was introduced and studied (almost two decades ago) by the reviewer and \textit{M. C. Daoust} [Indagationes Math. 31, 449-457 (1969; Zbl 0185.298)]. Making use of these integral representations, they deduce various recurrence relations for the Srivastava-Daoust multivariable hypergeometric function, and also for the H-function of several variables, introduced and studied by the reviewer and \textit{R. Panda} [J. Reinge Angew. Math. 283/284, 265-274 (1976; Zbl 0315.33003); ibid. 288, 129-145 (1976; Zbl 0326.33004)]. Each of the aforementioned multivariable functions has been considered, among other places, in a monograph on the subject by the reviewer, \textit{K. C. Gupta} and \textit{S. P. Goyal} [The H-functions of one and two variables with applications (1982; Zbl 0506.33007)].
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 3993989
zbMATH Keywords: Lauricella hypergeometric function of several variables
zbMATH Keywords: H-function of several variables
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3993989