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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Abstract 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).
AbstractList 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).
Author Koepf, Wolfram
Masjed-Jamei, Mohammad
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Cites_doi 10.1017/CBO9781107325937
10.1007/BFb0060468
10.1007/978-1-4471-6464-7
10.3390/axioms7020038
10.1007/978-1-4757-1595-8
10.1063/1.1665587
10.1063/1.1665270
ContentType Journal Article
Copyright 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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Minton (ref_9) 1970; 11
ref_2
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  doi: 10.1007/978-1-4757-1595-8
– ident: ref_2
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– volume: 12
  start-page: 270
  year: 1971
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  article-title: Hypergeometric functions with integral parameter differences
  publication-title: J. Math. Phys.
  doi: 10.1063/1.1665587
– volume: 11
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  year: 1970
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  publication-title: J. Math. Phys.
  doi: 10.1063/1.1665270
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StartPage 12
SubjectTerms Axioms
Conflicts of interest
Equality
Gauss and confluent hypergeometric functions
generalized hypergeometric functions
Hypergeometric functions
summation theorems of hypergeometric functions
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