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http://dx.doi.org/10.5666/KMJ.2015.55.2.439

Reduction Formulas for 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
Kyungpook Mathematical Journal / v.55, no.2, 2015 , pp. 439-447 More about this Journal
Abstract
Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $F^{(3)}$(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric series. In this sequel, we also present three more interesting reduction formulas for the function $F^{(3)}$(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.
Keywords
Generalized hypergeometric function $_pF_q$; Gamma function; Pochhammer symbol; Beta integral; $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function; Srivastava's triple hypergeometric series $F^{(3)}$[x, y, z]; Henrici's formula;
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Times Cited By KSCI : 2  (Citation Analysis)
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