Note on generating relations associated with the generalized gauss hypergeometric function

Mehar Chand; Praveen Agarwal; Junesang Choi

doi:10.12988/ams.2016.6386

Note on generating relations associated with the generalized gauss hypergeometric function

Mehar Chand
, Praveen Agarwal
, Junesang Choi

Fateh College for Women
International College of Engineering
Dongguk University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The objective of this paper is to establish some new generating re- lations involving the generalized hypergeometric function and the gen- eralized con uent hypergeometric function by mainly applying Taylor's theorem. Due to their very general nature, the main results can be shown to be specialized to yield a large number of new, interesting and useful generating relations involving the Gauss hypergeometric function and its related functions.

Original language	English
Pages (from-to)	1747-1754
Number of pages	8
Journal	Applied Mathematical Sciences
Volume	10
Issue number	33-36
DOIs	https://doi.org/10.12988/ams.2016.6386
State	Published - 2016
Externally published	Yes

Keywords

Beta function
Gamma function
Generalized Beta type function
Generalized Gauss hypergeometric function
Generalized con uent hypergeometric function
Generating functions
Hadamard product

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AU - Choi, Junesang

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KW - Gamma function

KW - Generalized Beta type function

KW - Generalized Gauss hypergeometric function

KW - Generalized con uent hypergeometric function

KW - Generating functions

KW - Hadamard product

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ER -

Note on generating relations associated with the generalized gauss hypergeometric function

Abstract

Keywords

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