ON HORADAM OCTONIONS

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dc.contributor.authorKilic, Nayil
dc.date.accessioned2025-03-23T19:47:42Z
dc.date.available2025-03-23T19:47:42Z
dc.date.issued2019
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we introduce the Horadam octonions, we give the Binet formula, generating function and exponential generating function of these octonions. Also, we obtain some identities for Horadam octonions including Catalan, Cassini and d'Ocagne identities. By using these results, we have the Binet formula, generating function, summation formula, Catalan and d'Ocagne identities for Fibonacci, Lucas, Jacobsthal, Jacobsthal- Lucas, Pell and Pell- Lucas octonions. Finally, we introduce the matrix generator for Horadam octonions and this generator gives the Cassini formula for the Horadam octonions.
dc.identifier.endpage241
dc.identifier.issn0315-3681
dc.identifier.scopus2-s2.0-85097088537
dc.identifier.scopusqualityQ4
dc.identifier.startpage229
dc.identifier.urihttps://hdl.handle.net/11486/7419
dc.identifier.volume113
dc.identifier.wosWOS:000554629800017
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKilic, Nayil
dc.language.isoen
dc.publisherUtil Math Publ Inc
dc.relation.ispartofUtilitas Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectGenerating functions
dc.subjectFibonacci and Lucas numbers and generalizations
dc.subjectOctonions
dc.subjectHoradam sequence
dc.titleON HORADAM OCTONIONS
dc.typeArticle

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