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

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
Format: Artikel
Sprache:eng
Schlagworte:
Convergence (Mathematics)
Functions, Hypergeometric
Hypergeometric functions
Mathematical research
Sequences (Mathematics)
Theorems
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Zusammenfassung: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.
ISSN:2146-1147
2146-1147