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

Authors

  • 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,)

Keywords:

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

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.

 

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Published

2023-06-19

Issue

Vol. 18 No. 01 (2022): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles