SOME SUMMATION THEOREMS FOR APPELL FUNCTION OF FIRST KIND HAVING ARGUMENTS [+ or -] 1

The motive of this paper is to find the closed forms of the summation theorems for Appell's double hypergeometric function of first kind with suitable convergence conditions, having the arguments [+ or -]1. Keywords: Generalized hypergeometric function, Appell function of first kind, summation...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2022-04, Vol.12 (2), p.406
Hauptverfasser: Qureshi, M.I, Baboo, M.S, Ahmad, A
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Ahmad, A
description The motive of this paper is to find the closed forms of the summation theorems for Appell's double hypergeometric function of first kind with suitable convergence conditions, having the arguments [+ or -]1. Keywords: Generalized hypergeometric function, Appell function of first kind, summation theorems of Kummer, Whipple, Dixon, Watson and Saalschutz.
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subjects Convergence (Mathematics)
Functions, Hypergeometric
Hypergeometric functions
Mathematical research
Sequences (Mathematics)
Theorems
title SOME SUMMATION THEOREMS FOR APPELL FUNCTION OF FIRST KIND HAVING ARGUMENTS [+ or -] 1
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