CERTAIN IDENTITIES INVOLVING GENERAL DOUBLE HYPERGEOMETRIC FUNCTIONS OF EXTON
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
(Received : July 09, 2021; Revised in final form : December 21, 2021)
This paper deals with the generalizations and unifications of identities by using series iteration technique in association with hypergeometric function AFB 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.