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

Jayprakash Yadav

doi:10.56827/SEAJMMS.2023.1903.7

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

Jayprakash Yadav Department of Mathematics, Prahladrai Dalmia Lions College of Commerce and Economics, Malad (West)- 401107, Mumbai, Maharashtra, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.7

Keywords: BasicHypergeometricFunctions, fractional q–differential operator.

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˙eriet function are expressed as an infinite sum of basic hypergeometric functions.Some special cases can be deduced as the application of the main results.

Published

2023-12-30

Issue

Vol 19 No 03 (2023): South East Asian J. of Mathematics and Mathematical Sciences

Section

Research Article

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