SOME REDUCTION FORMULAS FOR APPELL’S FUNCTION OF FOURTH KIND HAVING DIFFERENT ARGUMENT

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

The objective of this paper is to find some closed form of certain reduction formulas for Appell’s hypergeometric function F4 with suitable convergence conditions.

Keywords and Phrases

Gauss hypergeometric function; Appell’s function of fourth kind; K¨ummer’s first, second and third summation theorems.

A.M.S. subject classification

Primary 33C65, 33C20; Secondary 33C05.

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