REMARKS ON COMBINATORIAL SUMS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS WITH THEIR GENERATING FUNCTIONS

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dc.contributor.authorKilar, Neslihan
dc.contributor.authorŞimşek, Yilmaz
dc.date.accessioned2024-11-07T10:40:17Z
dc.date.available2024-11-07T10:40:17Z
dc.date.issued2022
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe purpose of this article is to give some novel identities and inequalities associated with combinatorial sums involving special numbers and polynomials. In particular, by using the method of generating functions and their functional equations, we derive not only some inequalities, but also many formulas, identities, and relations for the parametrically generalized polynomials, special numbers and special polynomials. Our identities, relations, inequalities and combinatorial sums are related to the Bernoulli numbers and polynomials of negative order, the Euler numbers and polynomials of negative order, the Stirling numbers, the Daehee numbers, the Changhee numbers, the Bernoulli polynomials, the Euler polyno-mials, the parametrically generalized polynomials, and other well-known special numbers and polynomials. Moreover, using Mathematica with the help of the Wolfram programming language, we illustrate some plots of the parametrically generalized polynomials under some of their randomly selected special conditions. Finally, we give some remarks and observa-tions on our results. © 2022, Bayram Sahin. All rights reserved.
dc.description.sponsorshipAkdeniz Üniversitesi
dc.identifier.endpage60
dc.identifier.issn2636-7467
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85144088726
dc.identifier.scopusqualityN/A
dc.identifier.startpage41
dc.identifier.urihttps://hdl.handle.net/11480/11547
dc.identifier.volume5
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherBayram Sahin
dc.relation.ispartofInternational Journal of Maps in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectBernoulli numbers and polynomials
dc.subjectChanghee numbers
dc.subjectDaehee numbers
dc.subjectEuler numbers and polynomials
dc.subjectGenerating functions
dc.subjectParametrically generalized polynomials
dc.subjectSpecial functions
dc.subjectSpecial numbers and polynomials
dc.subjectStirling numbers
dc.titleREMARKS ON COMBINATORIAL SUMS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS WITH THEIR GENERATING FUNCTIONS
dc.typeArticle

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