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http://dx.doi.org/10.4134/CKMS.2013.28.2.297

A REDUCIBILITY OF SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES F(3)[x, y, z]  

Choi, Junesang (Department of Mathematics Dongguk University)
Wang, Xiaoxia (Department of Mathematics Shanghai University)
Rathie, Arjun K. (Department of Mathematics School of Mathematical & Physical Sciences Central University of Kerala Riverside Transit Campus)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.2, 2013 , pp. 297-301 More about this Journal
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;
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