A reducibility of Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$

Junesang Choi; Xiaoxia Wang; Arjun K. Rathie

doi:10.4134/CKMS.2013.28.2.297

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2013; 28(2): 297-301

Printed April 1, 2013

https://doi.org/10.4134/CKMS.2013.28.2.297

A reducibility of Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$

Junesang Choi, Xiaoxia Wang, and Arjun K. Rathie

Dongguk University, Shanghai University, Riverside Transit Campus

Abstract

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Abstract

When certain general single or multiple hypergeometric functions were introduced, their reduction formulas have naturally been investigated. Here, in this paper, we aim at presenting a very interesting reduction formula for the Srivastava's triple hypergeometric function $F^{(3)}[x, y, z]$ by applying the so-called Beta integral method to the Henrici's triple product formula for hypergeometric series.

Keywords: generalized hypergeometric function ${}_pF_q$, Gamma function, Pochhammer symbol, Beta integral, Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$, Henrici's formula