SOME SUMMATION THEOREMS FOR APPELL FUNCTION OF FIRST KIND HAVING ARGUMENTS ± 1

SOME SUMMATION THEOREMS FOR APPELL FUNCTION OF FIRST KIND HAVING ARGUMENTS ± 1

M. I. Qureshi, M. S. Baboo, A. Ahmad

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Abstract

The motive of this paper is to  nd the closed forms of the summation theorems for Appell's double hypergeometric function of  rst kind with suitable convergence conditions, having the arguments  1.

Keywords

Generalized hypergeometric function, Appell function of  rst kind, summation theorems of Kummer, Whipple, Dixon, Watson and Saalschutz.