Generalization of Q-apostol-type eulerian numbers and polynomials, and their interpolation functions

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dc.contributor.authorCangul I.N.
dc.contributor.authorCevik A.S.
dc.contributor.authorSimsek Y.
dc.date.accessioned2020-03-26T19:08:19Z
dc.date.available2020-03-26T19:08:19Z
dc.date.issued2015
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn a recent paper [16], generating functions in terms of non-negative real parameters, q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius-Euler numbers and polynomials) have been constructed by Y. Simsek. Additionally, some identities for these polynomials and numbers based on the generating functions and functional equations have been derived. Finally, a multiplication formula for the generalized Apostol type Frobenius-Euler polynomials has been given. In this paper, as a continuing study of [16], we will essentially present generalizations of the above material and, differently from aforementioned paper, we will express the interpolation functions related to these numbers and polynomials.en_US
dc.identifier.doi10.17777/ascm.2015.25.2.211en_US
dc.identifier.endpage220en_US
dc.identifier.issn1229-3067en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage211en_US
dc.identifier.urihttps://dx.doi.org/10.17777/ascm.2015.25.2.211
dc.identifier.urihttps://hdl.handle.net/20.500.12395/32819
dc.identifier.volume25en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherJangjeon Mathematical Societyen_US
dc.relation.ispartofAdvanced Studies in Contemporary Mathematics (Kyungshang)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectEuler numbersen_US
dc.subjectFrobenius-Euler numbersen_US
dc.subjectFrobenius-Euler polynomialsen_US
dc.subjectGenerating functionen_US
dc.subjectQ-Frobenius-Euler polynomialsen_US
dc.subjectQ-seriesen_US
dc.titleGeneralization of Q-apostol-type eulerian numbers and polynomials, and their interpolation functionsen_US
dc.typeArticleen_US

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