A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.authorSrivastava, Hari M.
dc.contributor.buuauthorÖzden, Hacer
dc.contributor.departmentUludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.researcheridAAH-5090-2021tr_TR
dc.contributor.scopusid23973633900tr_TR
dc.date.accessioned2021-10-25T06:36:30Z
dc.date.available2021-10-25T06:36:30Z
dc.date.issued2010-11
dc.description.abstractThe goal of this paper is to unify and extend the generating functions of the generalized Bernoulli polynomials, the generalized Euler polynomials and the generalized Genocchi polynomials associated with the positive real parameters a and b and the complex parameter beta. By using this generating function, we derive recurrence relations and other properties for these polynomials. By applying the Mellin transformation to the generating function of the unification of Bernoulli, Euler and Genocchi polynomials, we construct a unification of the zeta functions. Furthermore, we give many properties and applications involving the functions and polynomials investigated in this paper.en_US
dc.description.sponsorshipAkdeniz Üniversitesitr_TR
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada (NSERC) CGIAR (OGP0007353)tr_TR
dc.identifier.citationÖzden, H. vd. (2010). "A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials". Computers & Mathematics with Applications, 60(10), 2779-2787.en_US
dc.identifier.endpage2787tr_TR
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue10tr_TR
dc.identifier.scopus2-s2.0-78049294653tr_TR
dc.identifier.startpage2779tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2010.09.031
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0898122110007170
dc.identifier.urihttp://hdl.handle.net/11452/22461
dc.identifier.volume60tr_TR
dc.identifier.wos000284656100006tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.collaborationYurt dışıtr_TR
dc.relation.journalComputers & Mathematics with Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernoulli numbers and Bernoulli polynomialsen_US
dc.subjectEuler numbers and Euler polynomialsen_US
dc.subjectGenocchi numbers and Genocch polynomialsen_US
dc.subjectRiemann and Hurwitz (or generalized) zeta functionsen_US
dc.subjectHurwitz-Lerch zeta functionen_US
dc.subjectLerch zeta functionen_US
dc.subjectPolylogarithm functionen_US
dc.subjectLipschitz-Lerch zeta functionen_US
dc.subjectRecurrence relationsen_US
dc.subjectMellin transformationen_US
dc.subjectDirichlet characteren_US
dc.subjectApostol-bernoullien_US
dc.subjectZetaen_US
dc.subjectNumbersen_US
dc.subjectExtensionen_US
dc.subjectFormulasen_US
dc.subjectMathematicsen_US
dc.subjectFunction evaluationen_US
dc.subjectFunctionsen_US
dc.subjectPolynomialsen_US
dc.subjectBernoulli polynomialsen_US
dc.subjectDirichlet charactersen_US
dc.subjectEuler numbersen_US
dc.subjectLerch zeta functionen_US
dc.subjectMellin transformationen_US
dc.subjectPolylogarithm functionsen_US
dc.subjectRecurrence relationsen_US
dc.subjectZeta functionen_US
dc.subjectNumber theoryen_US
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integralen_US
dc.subject.wosMathematics, applieden_US
dc.titleA unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomialsen_US
dc.typeArticle
dc.wos.quartileQ1en_US

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