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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 206

Volume : 18 , Issue : 1
DOI:
Author :
M. I. Qureshi (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,)
Chaudhary Wali Mohd. (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,)
M. Kashif Khan (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,)

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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