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

M. I. Qureshi; Chaudhary Wali Mohd.; M. Kashif Khan

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,

Volume 18, Issue 1 Pages 179-190 April 30, 2022 411 downloads

Article overview

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 transformationsKummer's confluent hypergeometric functionGoursat's hypergeometric function.

AMS Subject Classification

Primary 33C05, Secondary 33C20.

Reference information

How to Cite

M. I. Qureshi, Chaudhary Wali Mohd., M. Kashif Khan (2022). SOME TRANSFORMATIONS FOR GOURSAT'S FUNCTION ${}_2{F}_{2}[2z]$. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 179-190.

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