A Study of Extensions of Classical Summation Theorems for the Series ₃F₂ and ₄F₃ with Applications
| dc.date.accessioned | 2021-04-19T11:06:08Z | |
| dc.date.available | 2021-04-19T11:06:08Z | |
| dc.date.issued | 2021-03-16 | |
| dc.identifier | doi:10.17170/kobra-202103173534 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/12724 | |
| dc.description.sponsorship | Gefördert im Rahmen des Projekts DEAL | ger |
| dc.language.iso | eng | eng |
| dc.rights | Namensnennung 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | generalized hypergeometric function | eng |
| dc.subject | classical summation theorems | eng |
| dc.subject | generalizations and extensions | eng |
| dc.subject.ddc | 510 | |
| dc.title | A Study of Extensions of Classical Summation Theorems for the Series ₃F₂ and ₄F₃ with Applications | eng |
| dc.type | Aufsatz | |
| dcterms.abstract | 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. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Awad, Mohamed M. | |
| dcterms.creator | Koepf, Wolfram | |
| dcterms.creator | Mohammed, Asmaa Orabi | |
| dcterms.creator | Rakha, Medhat Ahmed | |
| dcterms.creator | Rathie, Arjun Kumar | |
| dc.relation.doi | doi:10.1007/s00025-021-01367-9 | |
| dc.subject.swd | Hypergeometrische Reihe | ger |
| dc.subject.swd | Erweiterung | ger |
| dc.subject.swd | Verallgemeinerung | ger |
| dc.type.version | publishedVersion | |
| dcterms.source.identifier | EISSN 1420-9012 | |
| dcterms.source.issue | Issue 2 | |
| dcterms.source.journal | Results in Mathematics (RM) | eng |
| dcterms.source.volume | Volume 76 | |
| kup.iskup | false | |
| dcterms.source.articlenumber | 65 |
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