A New Identity for Generalized Hypergeometric Functions and Applications

We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hyper...

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Bibliographic Details
Published in:	Axioms Vol. 8; no. 1; p. 12
Main Authors:	Masjed-Jamei, Mohammad, Koepf, Wolfram
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 18.01.2019
Subjects:	Axioms Conflicts of interest Equality Gauss and confluent hypergeometric functions generalized hypergeometric functions Hypergeometric functions summation theorems of hypergeometric functions
ISSN:	2075-1680, 2075-1680
Online Access:	Get full text
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Summary:	We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38).
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2075-1680 2075-1680
DOI:	10.3390/axioms8010012