Generating functions of the (h, q) extension of twisted Euler polynomials and numbers

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.buuauthorÖzden, Hacer
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.researcheridJ-3505-2017tr_TR
dc.contributor.researcheridAAH-5090-2021tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.contributor.scopusid23973633900tr_TR
dc.date.accessioned2022-03-08T08:31:42Z
dc.date.available2022-03-08T08:31:42Z
dc.date.issued2008-08
dc.description.abstractBy using p-adic q-deformed fermionic integral on Z(p), we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying Mellin transformation and derivative operator to these functions; we define twisted (h, q)-extension of zeta functions and 1-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.en_US
dc.identifier.citationCangül, İ. N. vd. (2008). ''Generating functions of the (h, q) extension of twisted Euler polynomials and numbers''. Acta Mathematica Hungarica, 120(3), 281-299.en_US
dc.identifier.endpage299tr_TR
dc.identifier.issn0236-5294
dc.identifier.issue3tr_TR
dc.identifier.scopus2-s2.0-48349147457tr_TR
dc.identifier.startpage281tr_TR
dc.identifier.urihttps://doi.org/10.1007/s10474-008-7139-1
dc.identifier.urihttps://link.springer.com/article/10.1007%2Fs10474-008-7139-1
dc.identifier.urihttp://hdl.handle.net/11452/24901
dc.identifier.volume120tr_TR
dc.identifier.wos000259034800005tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.collaborationYurt içitr_TR
dc.relation.journalActa Mathematica Hungaricaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectP-adic Volkenborn integralen_US
dc.subjectTwisted q-Euler numbers and polynomialsen_US
dc.subjectZeta and l-functionsen_US
dc.subjectAdic q-integralsen_US
dc.subjectQ-bernoulli polynomialsen_US
dc.subjectQ-zeta functionsen_US
dc.subjectQ)-bernoulli numbersen_US
dc.subjectL-seriesen_US
dc.subject(Hen_US
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integralen_US
dc.subject.wosMathematicsen_US
dc.titleGenerating functions of the (h, q) extension of twisted Euler polynomials and numbersen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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