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On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z]


Citation

Yong, Sup Kim and Kilicman, Adem and Rathie, Arjun Kumar (2020) On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z]. Kragujevac Journal of Mathematics, 44 (1). 65 - 73. ISSN 1450-9628

Abstract

Very recently, by applying the so called Beta integral method to thewell-known hypergeometric identities due to Bailey and Ramanujan, Choi et al. [Re-duction formula for Srivastava’s triple hypergeometric seriesF(3)[x, y, z], KyungpookMath. J.55(2015), 439–447] have obtained three interesting reduction formulas forthe Srivastava’s triple hypergeometric series F(3)[x, y, z ].The aim of this paper is to provide three unified reduction formulas for the Sri-vastava’s triple hypergeometric seriesF(3)[x, y, z]from which as many as reductionformulas desired (including those obtained by Choi et al.) can be deduced.In the end, three unified relationships between Srivastava’s triple hypergeometricseries and Kampé de Fériet function have also been given.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Faculty of Science, University of Kragujevac
Keywords: Hypergeometric; Sri-vastava’s triple hypergeometric
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 05 Sep 2022 03:45
Last Modified: 05 Sep 2022 03:45
URI: http://psasir.upm.edu.my/id/eprint/86967
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