Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 2,  2015, pp.439-447
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.2.439
Title & Authors
Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]
CHOI, JUNESANG; WANG, XIAOXIA; RATHIE, ARJUN K.;

Abstract
Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $\small{F^{(3)}}$(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 $\small{F^{(3)}}$(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 $\small{_pF_q}$;Gamma function;Pochhammer symbol;Beta integral;$\small{Kamp{\acute{e}}}$ de $\small{F{\acute{e}}riet}$ function;Srivastava's triple hypergeometric series $\small{F^{(3)}}$[x, y, z];Henrici's formula;
Language
English
Cited by
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