A TRANSFORMATION INVOLVING BASIC MULTIVARIABLE I-FUNCTION OF PRATHIMA

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 181

Abstract

In this document an expansion formula for q- analogue of multivariable I-function have been given by the applications of the q-Leibniz law for the q-derivatives of multiplication of two functions. Expansion formulas concerning the basic I-function of two variables, q - analogue H function of two variables, basic analogue Meijer G-function of two variables, basic I-function of one variable, basic analogue H-function of one variables, basic analogue Meijer G-function of one variables were given as special cases of the main formula.

Keywords and Phrases

Fractional q-integral, q-derivative operators, analogue basic I-function of several variables, q- analogue I-function of two variables, basic analogue I-function of one variable, q-Leibniz rule.

A.M.S. subject classification

33C99, 33C60, 44A20.

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