On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z]

Citation

Yong, Sup Kim and Kilicman, Adem and Rathie, A. K. (2018) On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z]. New Trends in Mathematical Sciences, 6 (2). pp. 297-301. ISSN 2147-5520

Abstract

Very recently, by applying the so-called Beta integral method to the Henrici’s triple product formula for the generalized hypergeometric series, Choi, et al.[Commun. Korean Math. Soc. 28(2013), No.2, pp. 297-301] have obtained an interesting reduction formula for the Srivastava’s triple hypergeometric series F⁽ᶟ⁾[x,y,z]. The aim of this short note is to provide a unified reduction formula for the Srivastava’s triple hyper geometric series from which as many new reduction formulas (including the one obtained by Choi, etal.) as desired can be deduced. A few interesing special cases have also been given.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.20852/ntmsci.2018.264
Publisher:	BISKA
Keywords:	Generalized hypergeometric function pFq; Gamma function; Pochhammer symbol; Beta integral; Srivastava’s triplehypergeometric series F⁽ᶟ⁾[x,y,z], Henrici’s formula.
Depositing User:	Mr. Sazali Mohamad
Date Deposited:	26 Feb 2020 09:17
Last Modified:	26 Feb 2020 09:17
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=/10.1155/2018/9719584
URI:	http://psasir.upm.edu.my/id/eprint/75122
Statistic Details:	View Download Statistic

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