Exploring probabilistic Bernstein polynomials: identities and applications

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dc.contributor.authorKaragenc, Ayse
dc.contributor.authorAcikgoz, Mehmet
dc.contributor.authorAracı, Serkan
dc.date.accessioned2024-09-20T08:53:12Z
dc.date.available2024-09-20T08:53:12Z
dc.date.issuedDEC 31 2024en_US
dc.departmentDiğeren_US
dc.description.abstractIn this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius-Euler polynomials of higher order, Stirling numbers of the second kind and Bell polynomials subject to several special random variables.en_US
dc.identifier.citationKaragenc, A., Acikgoz, M. & Araci, S. (DEC 31 2024). Exploring probabilistic Bernstein polynomials: identities and applications. Applıed Mathematıcs In Scıence and Engıneerıng. ( 32, 1.). https://doi.org/10.1080/27690911.2024.2398591.en_US
dc.identifier.doi10.1080/27690911.2024.2398591
dc.identifier.issn2769-0911
dc.identifier.issue1en_US
dc.identifier.orcid0000-0003-0796-4649en_US
dc.identifier.scopus2-s2.0-85204482543
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/27690911.2024.2398591
dc.identifier.urihttps://hdl.handle.net/20.500.11782/4464
dc.identifier.volume32en_US
dc.identifier.wosWOS:001306515100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francıs Ltd.en_US
dc.relation.ispartofApplıed Mathematıcs In Scıence and Engıneerıng
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzHKUDK
dc.subjectProbabilistic Bernstein polynomialsen_US
dc.subjectprobabilistic Bernoulli polynomialsen_US
dc.subjectprobabilistic Euler polynomialsen_US
dc.subjectprobabilistic Stirling numbers of the second kinden_US
dc.subjectrandom variableen_US
dc.subjectdistributionsen_US
dc.subjectgenerating functionsen_US
dc.titleExploring probabilistic Bernstein polynomials: identities and applications
dc.typeArticle

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