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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 225

Volume : 17 , Issue : 2
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,)
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,)

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 function; Appell's double hypergeometric function of Fourth kind.

A.M.S. subject classification

Primary 33C65, 33C20; Secondary 33C05.

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