Double integral representation and certain transformations for basic Appell functions

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 131

Volume : 1 , Issue : 1
DOI:
Author :
D.K. Jain (Madhav Institute of Technology & Science, Gwalior- 474005 (M.P.), India)
Renu Jain (Gwalior- 474011 (M.P.), India)
Farooq Ahmad ()

Abstract

In the present paper we have studied basic analogue of Appell’s hypergeometric functions called q-Appell functions and express the functions Φ1 ,Φ2 ,Φ3 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 functions, Integral representation and reduction formula. AMS 2010: Mathematics Subject Classi?cation Number: Primary 33Dxx, 33D60.

A.M.S. subject classification

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