ASYMPTOTIC EXPRESSIONS AND FORMULAS FOR FINITE SUMS OF POWERS OF BINOMIAL COEFFICIENTS INVOLVING SPECIAL NUMBERS AND POLYNOMIALS

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dc.contributor.authorKilar, Neslihan
dc.date.accessioned2024-11-07T13:24:35Z
dc.date.available2024-11-07T13:24:35Z
dc.date.issued2023
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe main objective in this paper is to study on special numbers and polynomials that contain finite sums of powers of binomial coefficients. By using generating function methods, some formulas and relations related to these numbers and the Apostol-Bernoulli and Apostol-Euler numbers of nega-tive higher order, the Bernoulli and Euler numbers, the Stirling type numbers, the combinatorial numbers, the Bell polynomials, the Fubini type polynomials, and the Legendre polynomials are presented. Moreover, asymptotic expres-sions of the finite sums of powers of binomial coefficients for these numbers are given. Some numeric values of these asymptotic expressions are illustrated by the tables. Finally, some inequalities for these numbers are given.
dc.identifier.doi10.54379/JIASF-2023-1-5
dc.identifier.endpage67
dc.identifier.issn2217-4303
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85159685150
dc.identifier.scopusqualityN/A
dc.identifier.startpage51
dc.identifier.urihttps://doi.org/10.54379/JIASF-2023-1-5
dc.identifier.urihttps://hdl.handle.net/11480/14188
dc.identifier.volume14
dc.identifier.wosWOS:000961984400005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Prishtines
dc.relation.ispartofJournal of Inequalities and Special Functions
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectApostol type numbers
dc.subjectBernoulli and Euler numbers
dc.subjectStirling numbers
dc.subjectFubini type numbers
dc.subjectCombinatorial numbers
dc.subjectBinomial coefficients
dc.subjectAsymptotic expression
dc.titleASYMPTOTIC EXPRESSIONS AND FORMULAS FOR FINITE SUMS OF POWERS OF BINOMIAL COEFFICIENTS INVOLVING SPECIAL NUMBERS AND POLYNOMIALS
dc.typeArticle

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