Building generating functions for degenerate Simsek-type numbers and polynomials of 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.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe objective of this paper is to build generating functions for new families of special numbers and polynomials, which are called higher order degenerate Peters-type Simsek numbers and polynomials of the second kind. Using generating function methods, we give both some fundamental properties of these functions with some relations among the higher order degenerate Peters-type Simsek numbers and polynomials of the second kind, the Stirling numbers of the first kind, the higher order degenerate Changhee numbers and polynomials, and the higher order Apostol-type Daehee numbers and polynomials. We also give some plots of these numbers and polynomials via Wolfram Cloud. Further, applying a partial derivative operator to these generating functions, we obtain derivative formulas for these new families. Eventually, we present further remarks on our new families including their generating functions. © 2024, MTJPAM Turkey. All rights reserved.
dc.identifier.endpage198
dc.identifier.issn2687-4814
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85192862454
dc.identifier.scopusqualityN/A
dc.identifier.startpage186
dc.identifier.urihttps://hdl.handle.net/11480/11570
dc.identifier.volume6
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.subjectApostol-type Daehee numbers and polynomials
dc.subjectdegenerate Changhee numbers and polynomials
dc.subjectdegenerate Peters-type Simsek numbers and polynomials
dc.subjectgenerating functions
dc.subjectStirling numbers
dc.titleBuilding generating functions for degenerate Simsek-type numbers and polynomials of higher order
dc.typeArticle

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