Article overview
Abstract
The q-derivatives and q-integrals are part of so called quantum calculus [1]. In this paper, we investigate how such derivatives and integrals can be possible used in establishing a formula exhibiting relationship between basic analogue of q-Weyl operator and q-Laplace transform, which allows the straight forward derivation of some useful results involving Weyl operator and basic analogue of I-function in terms of q-gamma function [2]. Also some special cases has been discussed.
Keywords and Phrases
Weyl fractional q-integral operatorq-Laplace transformbasic analogue
of I-function.
AMS Subject Classification
33D60, 33D90, and 26A33.
Reference information
How to Cite
D.K. Jain,, Renu Jain, Farooq Ahmad (2012). Relationship between q-Weyl operator and basic analogue of I-function in preview of q-Laplace transform. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 1(2), 27-32.