Unification of the generating functions for Sheffer type sequences and their applications

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dc.contributor.authorKucukoglu, Irem
dc.date.accessioned2026-01-24T12:20:58Z
dc.date.available2026-01-24T12:20:58Z
dc.date.issued2023
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractIn this paper, it is aimed to introduce a unification and generalization of the generating functions for Sheffer type sequences such as the Peters polynomials, the Boole polynomials, the Changhee polynomials, the Korobov polynomials of the first kind and the Peters-type Simsek numbers and polynomials. Moreover, by considering a special case of the aforementioned unification, we also introduce and investigate a new family of numbers and polynomials to be referred as the more general kind of the Peters-type Simsek numbers and polynomials. Finally, we give some applications of our findings. © 2023, MTJPAM Turkey. All rights reserved.
dc.identifier.endpage88
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85181923321
dc.identifier.scopusqualityQ1
dc.identifier.startpage71
dc.identifier.urihttps://hdl.handle.net/20.500.12868/4746
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_Scopus_20260121
dc.subjectcomputation formulas
dc.subjectFibonacci type numbers and polynomials
dc.subjectGenerating functions
dc.subjectPeters-type Simsek numbers and polynomials
dc.subjectrecurrence relations
dc.subjectSheffer sequences
dc.subjectspecial functions
dc.subjectspecial numbers and polynomials
dc.titleUnification of the generating functions for Sheffer type sequences and their applications
dc.typeArticle

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