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Unified (p, q)-analog of Apostol Type Polynomials of Order alpha

dc.contributor.authorDuran, Uğur
dc.contributor.authorAçıkgöz, Mehmet
dc.contributor.authorAracı, Serkan
dc.date.accessioned12.07.201910:50:10
dc.date.accessioned2019-07-12T22:06:26Z
dc.date.available12.07.201910:50:10
dc.date.available2019-07-12T22:06:26Z
dc.date.issued2018
dc.identifier.citationDuran, U., Acikgoz, M., Araci, S. (2018). Unified (P, q)-analog of apostol type polynomials of order α Filomat, 32 (2), pp. 387-394. https://doi.org/10.2298/FIL1802387Den_US
dc.identifier.issn0354-5180
dc.identifier.urihttps://doi.org/10.2298/FIL1802387D
dc.identifier.urihttps://hdl.handle.net/20.500.12508/716
dc.descriptionWOS: 000438494500004en_US
dc.description.abstractIn this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a 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 (p, q)-analog of Stirling numbers of second kind of order v by which we construct a relation including aforementioned polynomials.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK); Hasan 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 2018.en_US
dc.language.isoengen_US
dc.publisherUniversity of Nisen_US
dc.relation.isversionof10.2298/FIL1802387Den_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(p, q)-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.subjectGenerating functionen_US
dc.subjectCauchy producten_US
dc.subject.classificationMathematicsen_US
dc.subject.classificationApplieden_US
dc.subject.classificationEuler Polynomial | Bernoulli Number | P-Adic Q-Integralen_US
dc.subject.otherQ-extensionsen_US
dc.subject.otherEuler polynomialsen_US
dc.subject.otherBernoullien_US
dc.subject.otherIdentitiesen_US
dc.titleUnified (p, q)-analog of Apostol Type Polynomials of Order alphaen_US
dc.typearticleen_US
dc.relation.journalFilomaten_US
dc.contributor.departmentMühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümüen_US
dc.contributor.authorID0000-0002-5717-1199en_US
dc.contributor.authorID0000-0002-3950-6864en_US
dc.contributor.authorID0000-0003-1091-9697en_US
dc.identifier.volume32en_US
dc.identifier.issue2en_US
dc.identifier.startpage387en_US
dc.identifier.endpage394en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.isteauthorDuran, Uğuren_US
dc.relation.indexWeb of Science - Scopusen_US
dc.relation.indexWeb of Science Core Collection - Science Citation Index Expandeden_US


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