A TRANSFORMATION INVOLVING BASIC MULTIVARIABLE I-FUNCTION OF PRATHIMA

Nidhi Sahni; Dinesh Kumar; F Y Ayant; Sunil Singh

Nidhi Sahni Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida, Uttar Pradesh - 201310, INDIA

Dinesh Kumar Department of Applied Sciences, Agriculture University, Jodhpur - 342304, INDIA

F Y Ayant College Jean Lherminier, Allee des Nymph eas, 83500 La Seyne-sur-Mer, FRANCE

Sunil Singh Dr. Homi Bhabha State University, The Institute of Science, Mumbai - 32, INDIA

Volume 8, Issue 2 Pages 95-108 June 30, 2021 368 downloads

Article overview

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-integralq-derivative operatorsanalogue basic I-function of several variablesq- analogue I-function of two variablesbasic analogue I-function of one variableq-Leibniz rule.

AMS Subject Classification

33C99, 33C60, 44A20.

Reference information

How to Cite

Nidhi Sahni, Dinesh Kumar, F Y Ayant, Sunil Singh (2021). A TRANSFORMATION INVOLVING BASIC MULTIVARIABLE I-FUNCTION OF PRATHIMA. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 8(2), 95-108.

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