A certain generalized Pochhammer symbol and its applications to hypergeometric functions
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In this article, we first introduce an interesting new generalization of the familiar Pochhammer symbol by means of a certain one-parameter family of generalized gamma functions. With the help of this new generalized Pochhammer symbol, we then introduce an extension of the generalized hypergeometric function F-r(s) with r numerator and s denominator parameters. Finally, we present a systematic study of the various fundamental properties of the class of the generalized hypergeometric functions introduced here. (C) 2013 Elsevier Inc. All rights reserved.
SourceAPPLIED MATHEMATICS AND COMPUTATION
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In this paper, we first draw attention to the relationships between the original definitions and their k-generalizations of some known functions and fractional operators. Using these relationships, we not only easily ...
We introduce the extended Srivastava's triple hypergeometric functions by using an extension of beta function. Furthermore, some integral representations are given for these new functions. (C) 2016 All rights reserved.
We introduce the extended Srivastava’s triple hypergeometric functions by using an extension of beta function. Furthermore, some integral representations are given for these new functions. © 2016 All rights reserved.