On transformations involving generalized basic hypergeometric function of two variables

Abstract

In the present paper, transformations for basic analogue of the Fox”™s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions. Some special cases involving a basic analogue of Meijer”™s G-function are also derived.

Keywords

• fractional q-derivative operator
• q-Leibniz rule
• basic analogue of Fox”™s H-function and basic Meijer”™s G-function