Truncated-Exponential-Based General-Appell Polynomials

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dc.contributor.authorOzat, Zeynep
dc.contributor.authorCekim, Bayram
dc.contributor.authorOzarslan, Mehmet Ali
dc.contributor.authorCostabile, Francesco Aldo
dc.date.accessioned2026-02-06T18:24:13Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials. For this new polynomial family, we present an explicit representation, recurrence relation, shift operators, differential equation, determinant representation, and some other properties. Finally, two special cases of this family, truncated-exponential-based Hermite-type and truncated-exponential-based Laguerre-Frobenius Euler polynomials, are introduced and their corresponding properties are obtained.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK)
dc.description.sponsorshipWe would like to thank the Scientific and Technological Research Council of Turkiye (TUBITAK) for the TUBITAK BIDEB 2211-A General Domestic Doctorate Scholarship Program that supported the first author.
dc.identifier.doi10.3390/math13081266
dc.identifier.issn2227-7390
dc.identifier.issue8
dc.identifier.scopus2-s2.0-105003703738
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math13081266
dc.identifier.urihttps://hdl.handle.net/11129/10094
dc.identifier.volume13
dc.identifier.wosWOS:001475195400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectAppell polynomials
dc.subjectbivariate Appell polynomials
dc.subjecttruncated exponential polynomials
dc.titleTruncated-Exponential-Based General-Appell Polynomials
dc.typeArticle

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