A TRANSFORMATION INVOLVING BASIC MULTIVARIABLE I-FUNCTION OF PRATHIMA
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 198
DOI:
Author :
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)
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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