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Research Article

Double integral representation and certain transformations for basic Appell functions

D
D.K. Jain Madhav Institute of Technology & Science, Gwalior- 474005 (M.P.), India
R
Renu Jain Gwalior- 474011 (M.P.), India
F
Farooq Ahmad
Volume 1, Issue 1 Pages 17-22 June 30, 2012 266 downloads
Article overview

Abstract

In the present paper we have studied basic analogue of Appell’s hypergeometric functions called q-Appell functions and express the functions Φ123 in terms of de?nite integrals. Also certain transformation formulae have been obtained related these functions. Some special cases have been also discussed.

Keywords and Phrases

q-Appel functionsIntegral representation and reduction formula. AMS 2010: Mathematics Subject Classi?cation Number: Primary 33Dxx33D60.
Reference information

How to Cite

D.K. Jain, Renu Jain, Farooq Ahmad (2012). Double integral representation and certain transformations for basic Appell functions. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 1(1), 17-22.
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