A new extension of q-Euler numbers and polynomials related to their interpolation functions

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.buuauthorÖzen, Hacer
dc.contributor.departmentUludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.researcheridAAH-5090-2021tr_TR
dc.contributor.scopusid23973633900tr_TR
dc.date.accessioned2021-10-25T08:08:17Z
dc.date.available2021-10-25T08:08:17Z
dc.date.issued2008-10
dc.description.abstractIn this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers.en_US
dc.description.sponsorshipAkdeniz Üniversitesitr_TR
dc.identifier.citationÖzden, H. ve Şimşek, Y. (2008). ''A new extension of q-Euler numbers and polynomials related to their interpolation functions''. Applied Mathematics Letters, 21(9), 934-939.en_US
dc.identifier.endpage939tr_TR
dc.identifier.issn0893-9659
dc.identifier.issue9tr_TR
dc.identifier.scopus2-s2.0-47049097831tr_TR
dc.identifier.startpage934tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.aml.2007.10.005
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0893965907002947
dc.identifier.urihttp://hdl.handle.net/11452/22465
dc.identifier.volume21tr_TR
dc.identifier.wos000258438100010tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.collaborationYurt içitr_TR
dc.relation.journalApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectP-adic Volkenborn integralen_US
dc.subjectTwisted q-Euler numbers and polynomialsen_US
dc.subjectZeta and l-functionsen_US
dc.subjectFunction evaluationen_US
dc.subjectInterpolationen_US
dc.subjectPolynomial approximationen_US
dc.subjectDirichleten_US
dc.subjectEuler numbersen_US
dc.subjectGenerating functionsen_US
dc.subjectInterpolation functionsen_US
dc.subjectMellin transformationen_US
dc.subjectNegative integersen_US
dc.subjectNew approachesen_US
dc.subjectZeta functionsen_US
dc.subjectPolynomialsen_US
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integralen_US
dc.subject.wosMathematics, applieden_US
dc.titleA new extension of q-Euler numbers and polynomials related to their interpolation functionsen_US
dc.typeArticle
dc.wos.quartileQ2en_US

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