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Choi, Junesang; Rathie, Arjun K.

Six unified results for reducibility of the Srivastava’s triple hypergeometric series \(H_A\). (English) Zbl 1412.33021

J. Nonlinear Sci. Appl. 10, No. 6, 3038-3045 (2017).
Summary: We aim to provide six unified results for reducibility of the Srivastava’s triple hypergeometric series \(H_A\). The results are obtained with the help of generalizations of classical summation theorems due to Kummer, Gauss second and Bailey for the series \(_2F_1\) which have recently been published. Our main findings are also shown to be specialized to yield several known results.

MSC:

33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
33C65 Appell, Horn and Lauricella functions
33C05 Classical hypergeometric functions, \({}_2F_1\)
33C70 Other hypergeometric functions and integrals in several variables

Keywords:

Gamma function; hypergeometric function; generalized hypergeometric function; summation theorems; Appell’s function \(F_1\); triple hypergeometric series \(H_A\)
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Full Text: DOI

References:

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