SUMMATION FORMULAS FOR FOURTH KIND APPELL'S FUNCTION HAVING DIFFERENT ARGUMENTS

M. I. Qureshi; M. S. Baboo; Ashfaq Ahmad

M. I. Qureshi Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,

M. S. Baboo School of Basic Sciences and Research, Sharda University, Greater Noida, Uttar Pradesh - 201306, INDIA

Ashfaq Ahmad Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,

Volume 17, Issue 2 Pages 69-74 August 30, 2021 314 downloads

Article overview

Abstract

The objective of this paper is to find the closed form of the summation theorems for Appell's hypergeometric function $F_4$ having the arguments $\frac{-1}{32}, \frac{1}{16}, \frac{\pm i}{6}$, with suitable convergence conditions.

Keywords and Phrases

Gauss hypergeometric functionAppell's double hypergeometric function of Fourth kind.

AMS Subject Classification

Primary 33C65, 33C20; Secondary 33C05.

Reference information

How to Cite

M. I. Qureshi, M. S. Baboo, Ashfaq Ahmad (2021). SUMMATION FORMULAS FOR FOURTH KIND APPELL'S FUNCTION HAVING DIFFERENT ARGUMENTS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 69-74.

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