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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Vydáno v:Axioms Ročník 8; číslo 1; s. 12
Hlavní autoři: Masjed-Jamei, Mohammad, Koepf, Wolfram
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 18.01.2019
Témata:
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
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Shrnutí: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).
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms8010012