DOUBLE INTEGRAL REPRESENTATION AND CERTAIN TRANSFORMATIONS FOR BASIC APPELL FUNCTIONS

Farooq Ahmad, D.K.Jain, Renu Jain

Abstract: In the present paper  we have studied basic analogue of Appell’s hypergeometric functions called q-Appell functions and expressed  these functions in terms of definite integrals. Also certain transformation formulae have been obtained related to these functions. Some special cases have been also discussed. Mathematics Subject Classification: 33D60, 41A60, 33C65.

Keywords: q-Appell functions, Integral representation, transformation formulae.

Title: DOUBLE INTEGRAL REPRESENTATION AND CERTAIN TRANSFORMATIONS FOR BASIC APPELL FUNCTIONS

Author: Farooq Ahmad, D.K.Jain, Renu Jain

International Journal of Interdisciplinary Research and Innovations

ISSN 2348-1226 (online), ISSN 2348-1218 (print)

Research Publish Journals

Vol. 2, Issue 3, July 2014 - September 2014

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DOUBLE INTEGRAL REPRESENTATION AND CERTAIN TRANSFORMATIONS FOR BASIC APPELL FUNCTIONS by Farooq Ahmad, D.K.Jain, Renu Jain