Published on July 2021 | Special Functions

A transformation involving basic multivariable I-function of Prathima
Authors: Nidhi Sahni, Dinesh Kumar, F Y Ayant, Sunil Singh
View Author: Dr. Nidhi Sahni
Journal Name: JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
Volume: 8 Issue: 2 Page No: 95-108
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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.

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