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Apostol type (P, Q)-Frobenius-euler polynomials and numbers

dc.contributor.authorDuran, Uğur
dc.contributor.authorAçıkgöz, Mehmet
dc.date.accessioned12.07.201910:50:10
dc.date.accessioned2019-07-12T22:02:52Z
dc.date.available12.07.201910:50:10
dc.date.available2019-07-12T22:02:52Z
dc.date.issued2018
dc.identifier.citationDuran, U., Acikgoz, M. (2018). Apostol type (P, Q)-Frobenius-euler polynomials and numbers. Kragujevac Journal of Mathematics, 42(4), 555-567. doi: 10.5937/kgjmath1804555den_US
dc.identifier.urihttps://doi.org/10.5937/kgjmath1804555d
dc.identifier.urihttps://hdl.handle.net/20.500.12508/485
dc.descriptionEmerging Sources Citation Indexen_US
dc.description.abstractIn the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on. Then, we provide integral representations, explicit formulas and relations for these polynomials and numbers. Moreover, we discover (p, q)-extensions of Carlitz's result [L. Carlitz, Mat. Mag. 32 (1959), 247-260] and Srivastava and Pintér addition theorems in [H. M. Srivastava, A. Pinter, Appl. Math. Lett. 17 (2004), 375-380]. © 2018 University of Kragujevac, Faculty of Science.en_US
dc.description.sponsorshipBIDEB 2211-Aen_US
dc.description.sponsorshipAcknowledgements. The first author is supported by TUBITAK BIDEB 2211-A Scholarship Programme.en_US
dc.language.isoengen_US
dc.publisherUniversity of Kragujevac, Faculty of Scienceen_US
dc.relation.isversionof10.5937/kgjmath1804555den_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject(P, Q)-Calculusen_US
dc.subjectBernoulli Polynomialsen_US
dc.subjectCauchy Producten_US
dc.subjectEuler Polynomialsen_US
dc.subjectFrobenius-Euler Polynomialsen_US
dc.subjectGenerating Functionen_US
dc.subjectGenocchi Polynomialsen_US
dc.subject.classificationPolynomial | Identity | Fermionic p-adicen_US
dc.subject.classificationMathematicsen_US
dc.subject.otherfrobenius-euler polynomialsen_US
dc.subject.otherq-extensionsen_US
dc.subject.otherbernoullien_US
dc.subject.otheridentitiesen_US
dc.titleApostol type (P, Q)-Frobenius-euler polynomials and numbersen_US
dc.typearticleen_US
dc.relation.journalKragujevac Journal of Mathematicsen_US
dc.contributor.departmentMühendislik ve Doğa Bilimleri Fakültesien_US
dc.identifier.volume42en_US
dc.identifier.issue4en_US
dc.identifier.startpage555en_US
dc.identifier.endpage567en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.isteauthorDuran, Uğur
dc.relation.indexWeb of Science (ESCI) - Scopusen_US


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