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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.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.researcheridAAH-5090-2021
dc.contributor.scopusid23973633900
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.
dc.description.sponsorshipAkdeniz Üniversitesi
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.
dc.identifier.endpage351
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-84897431297
dc.identifier.startpage338
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.volume235
dc.identifier.wos000335898500035
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherElsevier
dc.relation.bapUAP (F)-2012/16
dc.relation.collaborationYurt içi
dc.relation.journalApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBernoulli numbers and polynomials
dc.subjectEuler numbers and polynomials
dc.subjectGenocchi Bernoulli numbers and polynomials
dc.subjectStirling numbers
dc.subjectCatalan numbers
dc.subjectUnified presentation
dc.subjectEuler polynomials
dc.subjectGenerating-functions
dc.subjectBernoulli
dc.subjectFamilies
dc.subjectMathematics
dc.subjectComputational methods
dc.subjectMathematical techniques
dc.subjectBernoulli numbers
dc.subjectEuler numbers
dc.subjectEulerian polynomial
dc.subjectGenerating functions
dc.subjectSecond kinds
dc.subjectStirling number
dc.subjectStirling-type
dc.subjectPolynomials
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; Degenerate
dc.subject.wosMathematics, applied
dc.titleModification and unification of the Apostol-type numbers and polynomials and their applications
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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