A REDUCIBILITY OF SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES F(3)[x, y, z]

Title & Authors
A REDUCIBILITY OF SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES F(3)[x, y, z]
Choi, Junesang; Wang, Xiaoxia; Rathie, Arjun K.;

Abstract
When certain general single or multiple hypergeometric functions were introduced, their reduction formulas have naturally been investigated. Here, in this paper, we aim at presenting a very interesting reduction formula for the Srivastava's triple hypergeometric function $\small{F^{(3)}[x,y,z]}$ by applying the so-called Beta integral method to the Henrici's triple product formula for hypergeometric series.
Keywords
generalized hypergeometric function $\small{_pF_q}$;Gamma function;Pochhammer symbol;Beta integral;Srivastava's triple hypergeometric series $\small{F^{(3)}[x,y,z]}$;Henrici's formula;
Language
English
Cited by
1.
Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z],;;;

Kyungpook mathematical journal, 2015. vol.55. 2, pp.439-447
1.
Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z], Kyungpook mathematical journal, 2015, 55, 2, 439
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