SOME TRANSFORMATIONS FOR GOURSAT'S FUNCTION ${}_2{F}_{2}[2z]$

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 32

Abstract

The objective of this paper is to obtain six new explicit forms of quadratic transformations for Goursat's hypergeometric function ${}_2{F}_{2}[a, m+d; 2a\pm{j}, d; 2z]$ with suitable convergence conditions.

Keywords and Phrases

Kummer's first and second transformations, Kummer's confluent hypergeometric function, Goursat's hypergeometric function.

A.M.S. subject classification

Primary 33C05, Secondary 33C20.

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