Modification and unification of the Apostol-type numbers and polynomials and their applications

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dc.contributor.authorŞimşek, Yılmaz
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.accessioned2022-09-07T10:40:09Z
dc.date.available2022-09-07T10:40:09Z
dc.date.issued2014-05-25
dc.description.abstractIn this paper, we construct generating functions for modification and unification of the Apostol-type polynomials Y ((nu))(n,beta)(x;k,a,b) of order nu. By using these generating functions, we derive many new identities related to the generalized Stirling type numbers of the second kind, array-type polynomials, Eulerian polynomials and the modification and unification of the Apostol-type polynomials and numbers. We give many applications related to these numbers and polynomials and PDEs.en_US
dc.description.sponsorshipAkdeniz Üniversitesitr_TR
dc.identifier.citationÖzden, H. ve Şimşek, Y. (2014). "Modification and unification of the Apostol-type numbers and polynomials and their applications". Applied Mathematics and Computation, 235, 338-351.en_US
dc.identifier.endpage351tr_TR
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-84897431297tr_TR
dc.identifier.startpage338tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.amc.2014.03.004
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300314003579
dc.identifier.urihttp://hdl.handle.net/11452/28531
dc.identifier.volume235tr_TR
dc.identifier.wos000335898500035tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.bapUAP (F)-2012/16tr_TR
dc.relation.collaborationYurt içitr_TR
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernoulli numbers and polynomialsen_US
dc.subjectEuler numbers and polynomialsen_US
dc.subjectGenocchi Bernoulli numbers and polynomialsen_US
dc.subjectStirling numbersen_US
dc.subjectCatalan numbersen_US
dc.subjectUnified presentationen_US
dc.subjectEuler polynomialsen_US
dc.subjectGenerating-functionsen_US
dc.subjectBernoullien_US
dc.subjectFamiliesen_US
dc.subjectMathematicsen_US
dc.subjectComputational methodsen_US
dc.subjectMathematical techniquesen_US
dc.subjectBernoulli numbersen_US
dc.subjectEuler numbersen_US
dc.subjectEulerian polynomialen_US
dc.subjectGenerating functionsen_US
dc.subjectSecond kindsen_US
dc.subjectStirling numberen_US
dc.subjectStirling-typeen_US
dc.subjectPolynomialsen_US
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; Degenerateen_US
dc.subject.wosMathematics, applieden_US
dc.titleModification and unification of the Apostol-type numbers and polynomials and their applicationsen_US
dc.typeArticle
dc.wos.quartileQ1en_US

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