dc.contributor.author | Duran, Uğur | |
dc.contributor.author | Açıkgöz, Mehmet | |
dc.contributor.author | Dutta, Hemen | |
dc.date.accessioned | 2020-05-24T15:31:51Z | |
dc.date.available | 2020-05-24T15:31:51Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Duran, U., Acikgoz, M., Dutta, H. (2020). Generalized Apostol Type Polynomials Based on Twin-Basic Numbers. Communications in Mathematics and Applications, 11(1), 65-83.
https://doi.org/10.26713/cma.v11i1.1327 | en_US |
dc.identifier.issn | 0976-5905 | |
dc.identifier.uri | https://doi.org/10.26713/cma.v11i1.1327 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/1132 | |
dc.description | WOS: 000531830300006 | en_US |
dc.description.abstract | In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making use of their generating function, we derive some useful identities. We also introduce the generating functions of (p, q)-analogues of the Stirling numbers of second kind of order tau and the Bernstein polynomials by which we construct diverse correlations including aforementioned polynomials and the (p, q)-gamma function. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Rgn Publ | en_US |
dc.relation.isversionof | 10.26713/cma.v11i1.1327 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | 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 | Apostol-Genocchi polynomials | en_US |
dc.subject | Stirling numbers of second kind | en_US |
dc.subject | Bernstein polynomials | en_US |
dc.subject | Gamma function | en_US |
dc.subject | Generating function | en_US |
dc.subject | Cauchy product | en_US |
dc.subject.classification | Mathematics | en_US |
dc.subject.other | Q-extensions | en_US |
dc.subject.other | Bernoulli polynomials | en_US |
dc.subject.other | Unified presentation | en_US |
dc.subject.other | Euler polynomials | en_US |
dc.subject.other | Identities | en_US |
dc.subject.other | (p; q)-analog | en_US |
dc.title | Generalized Apostol Type Polynomials Based on Twin-Basic Numbers | en_US |
dc.type | article | en_US |
dc.relation.journal | Communications In Mathematics and Applications | 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.contributor.authorID | 0000-0003-2765-2386 | en_US |
dc.identifier.volume | 11 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 65 | en_US |
dc.identifier.endpage | 83 | 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 |