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On applications of blending generating functions of q-Apostol-type polynomials

dc.contributor.authorDuran, Uğur
dc.contributor.authorAçıkgöz, Mehmet
dc.contributor.authorAracı, Serkan
dc.date.accessioned2020-05-24T15:32:13Z
dc.date.available2020-05-24T15:32:13Z
dc.date.issued2019
dc.identifier.citationDuran, 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.issn1310-5132
dc.identifier.issn2367-8275
dc.identifier.urihttps://doi.org/10.7546/nntdm.2019.25.3.72-86
dc.identifier.urihttps://hdl.handle.net/20.500.12508/1235
dc.descriptionWOS: 000502370900007en_US
dc.description.abstractMotivated 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.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Hasan Kalyoncu UniversityHasan Kalyoncu Universityen_US
dc.description.sponsorshipThe 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.isoengen_US
dc.publisherBulgarian Academy of Sciencesen_US
dc.relation.isversionof10.7546/nntdm.2019.25.3.72-86en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectq-calculusen_US
dc.subjectApostol-Bernoulli polynomialsen_US
dc.subjectApostol-Euler polynomialsen_US
dc.subjectApostol-Genocchi polynomialsen_US
dc.subjectStirling numbers of second kinden_US
dc.subjectFermionic p-adic integralen_US
dc.subjectp-adic numbersen_US
dc.subject.classificationMathematicsen_US
dc.subject.otherFrobenius-euler polynomialsen_US
dc.subject.otherBernoulli polynomialsen_US
dc.subject.otherq-extensıonsen_US
dc.subject.otherIdentitiesen_US
dc.subject.otherNumbersen_US
dc.subject.otherOrderen_US
dc.titleOn applications of blending generating functions of q-Apostol-type polynomialsen_US
dc.typearticleen_US
dc.relation.journalNotes On Number Theory And Discrete Mathematicsen_US
dc.contributor.departmentMühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümüen_US
dc.contributor.authorID0000-0002-5717-1199en_US
dc.contributor.authorID0000-0003-1091-9697en_US
dc.identifier.volume25en_US
dc.identifier.issue3en_US
dc.identifier.startpage72en_US
dc.identifier.endpage86en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.isteauthorDuran, Uğuren_US
dc.relation.indexWeb of Science Core Collection - Emerging Sources Citation Indexen_US


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