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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Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
BISKA
2018
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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. |
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