Formulas for Fubini type numbers and polynomials of negative higher order

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dc.contributor.authorKilar, Neslihan
dc.date.accessioned2024-11-07T10:40:18Z
dc.date.available2024-11-07T10:40:18Z
dc.date.issued2023
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe present paper deals with the Fubini type numbers and polynomials with their generating functions and functional equations. By using these functions, some properties and applications of these polynomials are investigated. Many relations and computation formulas connected with the Stirling type numbers, the Apostol type polynomials and numbers of order ?r, the Bernoulli polynomials of order ?r, the Euler polynomials and numbers of order ?r, the Fubini type numbers and polynomials of order ?r and combinatorial numbers are given. Applying the derivative operator to the generating functions of these polynomials, some formulas and combinatorial sums including these numbers and polynomials are also given. Moreover, applying the Riemann integral to some formulas, we derive several interesting finite combinatorial sums associated with the Bernstein basis functions, the Cauchy numbers and the Stirling type numbers. © 2023, MTJPAM Turkey. All rights reserved.
dc.identifier.endpage36
dc.identifier.issn2687-4814
dc.identifier.issue3 Special Issue
dc.identifier.scopus2-s2.0-85172663285
dc.identifier.scopusqualityN/A
dc.identifier.startpage23
dc.identifier.urihttps://hdl.handle.net/11480/11571
dc.identifier.volume5
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMTJPAM Turkey
dc.relation.ispartofMontes Taurus Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectBernstein basis functions
dc.subjectCauchy numbers
dc.subjectcombinatorial numbers
dc.subjectFubini type numbers and polynomials
dc.subjectgenerating function
dc.subjectspecial numbers
dc.subjectStirling numbers
dc.titleFormulas for Fubini type numbers and polynomials of negative higher order
dc.typeArticle

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