ON TRANSFORMATION OF BASIC HYPERGEOMETRIC FUNCTIONS APPLYING FRACTIONAL q-DIFFERENTIAL OPERATOR

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 52

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.7
Author :
Jayprakash Yadav (Department of Mathematics, Prahladrai Dalmia Lions College of Commerce and Economics, Malad (West) - 401107, Mumbai, Maharashtra, INDIA)

Abstract

The object of this paper is to establish transformations in which a basic hypergeometric functions can be expressed as an infinite sum of functions of higher order by the application of fractional q-differential operator.Several well known hypergeometric functions and basic Kamp\.{e} de F\.{e}riet function are expressed as an infinite sum of basic hypergeometric functions.Some special cases can be deduced as the application of the main results.

Keywords and Phrases

Basic Hypergeometric Functions, fractional q--differential operator.

A.M.S. subject classification

33D15, 26A33.

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