Certain transformation and reduction formulas for hypergeometric series in several variables

Date

2010-03-17T22:58:11Z

Authors

Grosjean, C.C.
Srivastava, H.M.

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Abstract

An (alternative) elementary proof of a certain hypergeometric identity, which was posed recently as a problem, leads naturally first to a multiple-series extension of the problem and then also to its related multivariable hypergeometric transformation and summation formulas. In this paper we aim at presenting a systematic analysis of general general multiple-series identities analogous to these hypergeometric transformations. Many of the general results obtained here are shown to unify and extend numerous transformation and reduction formulas for various classes of double (and multiple) hypergeometric series.

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