Formulas for special numbers and polynomials derived from functional equations of their generating functions

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dc.authoridKILAR, NESLIHAN/0000-0001-5797-6301
dc.contributor.authorKilar, Neslihan
dc.date.accessioned2024-11-07T13:24:55Z
dc.date.available2024-11-07T13:24:55Z
dc.date.issued2022
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe main purpose of this paper is to investigate various formulas, identities and relations involving Apostol type numbers and parametric type polynomials. By using generating functions and their functional equations, we give many relations among the certain family of combinatorial numbers, the Vieta polynomials, the two-parametric types of the Apostol-Euler polynomials, the Apostol-Bernoulli polynomials, the Apostol-Genocchi polynomials, the Fibonacci and Lucas numbers, the Chebyshev polynomials, and other special numbers and polynomials. Moreover, we give some formulas related to trigonometric functions, special numbers and special polynomials. Finally, some remarks and observations on the results of this paper are given.
dc.identifier.doi10.55730/1300-0098.3280
dc.identifier.endpage2465
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85135567716
dc.identifier.scopusqualityQ2
dc.identifier.startpage2450
dc.identifier.trdizinid1142711
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3280
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1142711
dc.identifier.urihttps://hdl.handle.net/11480/14386
dc.identifier.volume46
dc.identifier.wosWOS:000824597700028
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectApostol type numbers and polynomials
dc.subjectVieta polynomials
dc.subjectFibonacci and Lucas numbers
dc.subjectparametric type polynomials
dc.subjectspecial numbers and polynomials
dc.subjectgenerating functions
dc.titleFormulas for special numbers and polynomials derived from functional equations of their generating functions
dc.typeArticle

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