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On Some Expansion Formulae Involving a Basic Analogue of Generalized Hypergeometric Function
Author(s):
1. Yashwant Singh: Department of Mathematics, S.M.L. (P.G.) College, Jhunjhunu, Rajasthan, India
Abstract:
In the present paper an expansion formulae for a basic analogue I -function have been derived by the applications of the q -Leibniz rule for the type q -derivatives of a product of two functions. Expansion formulae involving a basic analogue of Fox's H -function, Meijer's G function and MacRobert's E -function have been derived as special cases of the main results. 8 ?? 1 - ( y x ) qn ?? ( x - y)v = xv ? ? ? , n=0 ?1 - ( y ) qv+n ? ? x ?
Page(s): 179-183
DOI: DOI not available
Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 48, Issue: 3, Year: 2011
Keywords:
I function AMS SUBJECT CLASSFICATION , q Leibniz rule , 33D60 and 26A33 , Foxs H function , q integral operator , Weyl fractional
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