dc.contributor.author | Açıkgöz, Mehmet | |
dc.contributor.author | Aracı, Serkan | |
dc.contributor.author | Duran, Uğur | |
dc.date.accessioned | 2020-05-24T15:32:07Z | |
dc.date.available | 2020-05-24T15:32:07Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Acikgoz, M., Araci, S., Duran, U. (2019).
Some (P, q)-analogues of apostol type numbers and polynomials. Acta et Commentationes Universitatis Tartuensis de Mathematica, 23(1), 37-50.
https://doi.org/10.12697/ACUTM.2019.23.04 | en_US |
dc.identifier.issn | 1406-2283 | |
dc.identifier.issn | 2228-4699 | |
dc.identifier.uri | https://doi.org/10.12697/ACUTM.2019.23.04 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/1212 | |
dc.description | WOS: 000481498100004 | en_US |
dc.description.abstract | We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several old and new identities concerning Apostol-Bernoulli and Apostol-Euler polynomials. Finally, we define the (p, q)-generalization of Stirling polynomials of the second kind of order v, and provide a link between the (p, q)-generalization of Bernoulli polynomials of order v and the (p, q)-generalization of Stirling polynomials of the second kind of order v. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | University of Tartu Press | en_US |
dc.relation.isversionof | 10.12697/ACUTM.2019.23.04 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | (p,q)-calculus | en_US |
dc.subject | Apostol-Bernoulli polynomials | en_US |
dc.subject | Apostol-Euler polynomials | en_US |
dc.subject | Generating function | en_US |
dc.subject.classification | Mathematics | en_US |
dc.subject.classification | Polynomial | Identity | Fermionic p-adic | en_US |
dc.subject.other | Bernoulli | en_US |
dc.title | Some (p, q)-analogues of Apostol type numbers and polynomials | en_US |
dc.type | article | en_US |
dc.relation.journal | Acta Et Commentationes Universitatis Tartuensis De Mathematica | en_US |
dc.contributor.department | Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü | en_US |
dc.contributor.authorID | 0000-0003-1091-9697 | en_US |
dc.contributor.authorID | 0000-0002-3950-6864 | en_US |
dc.contributor.authorID | 0000-0002-5717-1199 | en_US |
dc.identifier.volume | 23 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 37 | en_US |
dc.identifier.endpage | 50 | 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 |
dc.relation.index | Web of Science - Scopus | en_US |