IMPLEMENTATION OF COMPUTATION FORMULAS FOR CERTAIN CLASSES OF APOSTOL-TYPE POLYNOMIALS AND SOME PROPERTIES ASSOCIATED WITH THESE POLYNOMIALS

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dc.authorid0000-0001-9100-2252
dc.contributor.authorKucukoglu, Irem
dc.date.accessioned2026-01-24T12:29:26Z
dc.date.available2026-01-24T12:29:26Z
dc.date.issued2021
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThe main purpose of this paper is to present various identities and computation formulas for certain classes of Apostol-type numbers and polynomials. The results of this paper contain not only the lambda-Apostol-Daehee numbers and polynomials, but also Simsek numbers and polynomials, the Stirling numbers of the first kind, the Daehee numbers, and the Chu-Vandermonde identity. Furthermore, we derive an in finite series representation for the lambda-Apostol-Daehee polynomials. By using functional equations containing the generating functions for the Cauchy numbers and the Riemann integrals of the generating functions for the lambda-Apostol-Daehee numbers and polynomials, we also derive some identities and formulas for these numbers and polynomials. Moreover, we give implementation of a computation formula for the lambda-Apostol-Daehee polynomials in Mathematica by Wolfram language. By this implementation, we also present some plots of these polynomials in order to investigate their behaviour in some randomly selected special cases of their parameters. Finally, we conclude the paper with some comments and observations on our results.
dc.identifier.doi10.31801/cfsuasmas.831024
dc.identifier.endpage442
dc.identifier.issn1303-5991
dc.identifier.issue1
dc.identifier.startpage426
dc.identifier.trdizinid439306
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.831024
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/439306
dc.identifier.urihttps://hdl.handle.net/20.500.12868/5356
dc.identifier.volume70
dc.identifier.wosWOS:000663383900025
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260121
dc.subjectbers and polynomials
dc.subjectBernoulli numbers of the second kind
dc.subjectDaehee numbers and polynomials
dc.subjectintegral formulas
dc.subjectChu-Vandermonde identity
dc.subjectBernstein basis functions
dc.subjectcombinatorial sumsGenerating functions
dc.subjectfunctional equations
dc.subjectspecial numbers and polynomials
dc.subjectStirling numbers of the.rst kind
dc.subjectApostol-type numbers and polynomials
dc.subjectSimsek num
dc.titleIMPLEMENTATION OF COMPUTATION FORMULAS FOR CERTAIN CLASSES OF APOSTOL-TYPE POLYNOMIALS AND SOME PROPERTIES ASSOCIATED WITH THESE POLYNOMIALS
dc.typeArticle

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