A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved
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[[abstract]]In some recent investigations involving differential operators for a general family of L...
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[[abstract]]In some recent investigations involving differential operators for a general family of L...
In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxen...
The aim of our paper is to present Pδ -transforms of the Kummer’s confluent hypergeometric functions ...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractThe main object of the present work is to investigate several families of double-series iden...
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of...
In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather ge...
AbstractBased upon the classical derivative and integral operators we introduce a new operator which...
AbstractThe main object of the present paper is to derive various classes of double-series identitie...
We prove a generalization of Iseki\u27s transformation formula, which is basically a transformation ...
AbstractIn this paper authors prove a general theorem on generating relations for a certain sequence...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
AbstractWe define a hypergeometric function over finite fields which is an analogue of the classical...
AbstractThe main object of this paper is to present generalizations of gamma, beta and hypergeometri...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
[[abstract]]In some recent investigations involving differential operators for a general family of L...