On the generating functions of the newly defined generalized hypergeometric functions
| dc.contributor.author | Ata, Enes | en_US |
| dc.contributor.author | Kıymaz, İ. Onur | en_US |
| dc.date.accessioned | 2024-01-04T14:54:26Z | |
| dc.date.available | 2024-01-04T14:54:26Z | |
| dc.date.issued | 2024-01 | en_US |
| dc.identifier.citation | Ata, E. & Kıymaz, İ. O. (2024). On the generating functions of the newly defined generalized hypergeometric functions. TWMS Journal Of Applied And Engineering Mathematics, 14(1), 64-78. | en_US |
| dc.identifier.issn | 2146-1147 | en_US |
| dc.identifier.issn | 2587-1013 | en_US |
| dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5849 | |
| dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1155 | |
| dc.description.abstract | In this paper, we have defined new generalizations of some hypergeometric functions and fractional operators with the help of Fox-Wright function. Then, using each of the generalized fractional operators, we derived linear and bilinear generating function relations for these functions. Finally, we have shown that the newly defined hypergeometric functions and fractional operators can be reduced to functions and operators presented in many studies in the literature by giving special values for their parameters. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Işık University Press | en_US |
| dc.relation.ispartof | TWMS Journal Of Applied And Engineering Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Beta function | en_US |
| dc.subject | Fox-Wright function | en_US |
| dc.subject | Hypergeometric functions | en_US |
| dc.subject | Fractional operators | en_US |
| dc.subject | Generating functions | en_US |
| dc.title | On the generating functions of the newly defined generalized hypergeometric functions | en_US |
| dc.type | Article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 14 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 64 | |
| dc.identifier.endpage | 78 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
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