dc.contributor.author | Duran, Uğur | |
dc.contributor.author | Açıkgöz, Mehmet | |
dc.contributor.author | Aracı, Serkan | |
dc.date.accessioned | 2020-05-24T15:32:13Z | |
dc.date.available | 2020-05-24T15:32:13Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Duran, U., Acikgoz, M. Araci , S. (2019). On applications of blending generating functions of q-Apostol-type polynomials. Notes on Number Theory and Discrete Mathematics, 25(3), 72-86.
https://doi.org/10.7546/nntdm.2019.25.3.72-86 | |
dc.identifier.issn | 1310-5132 | |
dc.identifier.issn | 2367-8275 | |
dc.identifier.uri | https://doi.org/10.7546/nntdm.2019.25.3.72-86 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/1235 | |
dc.description | WOS: 000502370900007 | en_US |
dc.description.abstract | Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized q-Stirling numbers of the second kind. Additionally, by making use of the fermionic p-adic integral over the p-adic numbers field, some relationships including unified Apostol-type q-polynomials and classical Euler numbers are obtained. | en_US |
dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Hasan Kalyoncu UniversityHasan Kalyoncu University | en_US |
dc.description.sponsorship | The first author is thankful to The Scientific and Technological Research Council of Turkey (TUBITAK) for their support with the Ph.D. scholarship. The third author of this paper is also supported by the research fund of Hasan Kalyoncu University in 2019. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Bulgarian Academy of Sciences | en_US |
dc.relation.isversionof | 10.7546/nntdm.2019.25.3.72-86 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | q-calculus | en_US |
dc.subject | Apostol-Bernoulli polynomials | en_US |
dc.subject | Apostol-Euler polynomials | en_US |
dc.subject | Apostol-Genocchi polynomials | en_US |
dc.subject | Stirling numbers of second kind | en_US |
dc.subject | Fermionic p-adic integral | en_US |
dc.subject | p-adic numbers | en_US |
dc.subject.classification | Mathematics | en_US |
dc.subject.other | Frobenius-euler polynomials | en_US |
dc.subject.other | Bernoulli polynomials | en_US |
dc.subject.other | q-extensıons | en_US |
dc.subject.other | Identities | en_US |
dc.subject.other | Numbers | en_US |
dc.subject.other | Order | en_US |
dc.title | On applications of blending generating functions of q-Apostol-type polynomials | en_US |
dc.type | article | en_US |
dc.relation.journal | Notes On Number Theory And Discrete Mathematics | en_US |
dc.contributor.department | Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü | en_US |
dc.contributor.authorID | 0000-0002-5717-1199 | en_US |
dc.contributor.authorID | 0000-0003-1091-9697 | en_US |
dc.identifier.volume | 25 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 72 | en_US |
dc.identifier.endpage | 86 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.isteauthor | Duran, Uğur | en_US |
dc.relation.index | Web of Science Core Collection - Emerging Sources Citation Index | en_US |