Generating functions for multiparametric Hermite-based Peters-type Simsek numbers and polynomials in several variables

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dc.contributor.authorKucukoglu, Irem
dc.date.accessioned2026-01-24T12:20:58Z
dc.date.available2026-01-24T12:20:58Z
dc.date.issued2024
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThe essential target of this study is to introduce multivariable and multiparameter generalization of the Hermite-based Peters-type Simsek numbers and polynomials and to construct their generating functions. Besides, inspired by the generating functions and techniques constructed by Simsek [25], we here introduce and systematically investigate some new families of generating-type functions whose functional equations have been used to reveal generating functions for new families of special numbers and polynomials in this paper. The constructed generating functions unify and generalize, but are not limited to, the generating functions for the Hermite-based Peters-type Simsek numbers and polynomials, the positive and negative higher-order Peters-type Simsek numbers and polynomials, the Peters-type Simsek numbers and polynomials of all kinds, the two-variable Peters-type Simsek polynomials, the two-variable Changhee polynomials. We finalize this paper by putting forward some comments involving open problems and observations on the main results. © 2024, MTJPAM Turkey. All rights reserved.
dc.identifier.endpage238
dc.identifier.issue3 Special Issue
dc.identifier.scopus2-s2.0-85199299877
dc.identifier.scopusqualityQ1
dc.identifier.startpage217
dc.identifier.urihttps://hdl.handle.net/20.500.12868/4741
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_Scopus_20260121
dc.subjectcomputation formulas
dc.subjectGenerating functions
dc.subjectHermite polynomials
dc.subjectPeters-type Simsek numbers and polynomials
dc.subjectspecial functions
dc.subjectspecial numbers and polynomials
dc.subjectspecial sequences
dc.subjectunified presentation
dc.titleGenerating functions for multiparametric Hermite-based Peters-type Simsek numbers and polynomials in several variables
dc.typeArticle

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