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 operator, q-Laplace transform, basic analogue of I-function.

A.M.S. subject classification

33D60, 33D90, and 26A33.

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