The q-derivatives and q-integrals are part of so called quantum calculus . 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 . 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.