CERTAIN IDENTITIES INVOLVING GENERAL DOUBLE HYPERGEOMETRIC FUNCTIONS OF EXTON

By

Ashish Arora, Saurabh Saxena, Ashish Prakash

Department of Applied Sciences and Humanities, ABES Engineering College, Campus-1, 19th KM Stone, NH 24,

Ghaziabad-201009, Uttar Pradesh, India

Email:ashish.arora@abes.ac.in

(Received : July 09, 2021; Revised in final form : December 21, 2021)

DOI: https://doi.org/10.58250/Jnanabha.2021.51227

Abstract

This paper deals with the generalizations and unifications of identities by using series iteration technique in association with hypergeometric function _AF_B of single variable and hypergeometric function of double variables given by Appell, in the form of identities in association with Exton’s hypergeometric function H, G of double variables.

2020 Mathematical Sciences Classification: 33C05, 33C20, 33C65, 33C70.

Keywords and Phrases: Pochhammer’s symbol; Series identities; Double hypergeometric function; series iteration technique.

[Download full paper]