Datum
2021-03-16Metadata
Zur Langanzeige
Aufsatz
A Study of Extensions of Classical Summation Theorems for the Series ₃F₂ and ₄F₃ with Applications
Zusammenfassung
Very recently, Masjed-Jamei & Koepf [Some summation theorems for generalized hypergeometric functions, Axioms, 2018, 7, 38, 10.3390/axioms 7020038] established some summation theorems for the generalized hypergeometric functions. The aim of this paper is to establish extensions of some of their summation theorems in the most general form. As an application, several Eulerian-type and Laplace-type integrals have also been given. Results earlier obtained by Jun et al. and Koepf et al. follow special cases of our main findings.
Zitierform
In: Results in Mathematics (RM) Volume 76 / Issue 2 (2021-03-16) EISSN 1420-9012Förderhinweis
Gefördert im Rahmen des Projekts DEALZitieren
@article{doi:10.17170/kobra-202103173534,
author={Awad, Mohamed M. and Koepf, Wolfram and Mohammed, Asmaa Orabi and Rakha, Medhat Ahmed and Rathie, Arjun Kumar},
title={A Study of Extensions of Classical Summation Theorems for the Series ₃F₂ and ₄F₃ with Applications},
journal={Results in Mathematics (RM)},
year={2021}
}
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2021-04-19T11:06:08Z 2021-04-19T11:06:08Z 2021-03-16 doi:10.17170/kobra-202103173534 http://hdl.handle.net/123456789/12724 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ generalized hypergeometric function classical summation theorems generalizations and extensions 510 A Study of Extensions of Classical Summation Theorems for the Series ₃F₂ and ₄F₃ with Applications Aufsatz Very recently, Masjed-Jamei & Koepf [Some summation theorems for generalized hypergeometric functions, Axioms, 2018, 7, 38, 10.3390/axioms 7020038] established some summation theorems for the generalized hypergeometric functions. The aim of this paper is to establish extensions of some of their summation theorems in the most general form. As an application, several Eulerian-type and Laplace-type integrals have also been given. Results earlier obtained by Jun et al. and Koepf et al. follow special cases of our main findings. open access Awad, Mohamed M. Koepf, Wolfram Mohammed, Asmaa Orabi Rakha, Medhat Ahmed Rathie, Arjun Kumar doi:10.1007/s00025-021-01367-9 Hypergeometrische Reihe Erweiterung Verallgemeinerung publishedVersion EISSN 1420-9012 Issue 2 Results in Mathematics (RM) Volume 76 false 65
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