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

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 hypergeometr...

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Bibliographic Details
Main Authors: Yong, Sup Kim, Kilicman, Adem, Rathie, A. K.
Format: Article
Language:English
Published: BISKA 2018
Online Access:http://psasir.upm.edu.my/id/eprint/75122/1/On%20an%20unified.pdf
http://psasir.upm.edu.my/id/eprint/75122/
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Summary: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.