A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors

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dc.contributor.authorBabadag, Faik
dc.date.accessioned2025-01-21T16:35:02Z
dc.date.available2025-01-21T16:35:02Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThis paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented. In addition, a new dual vector called the dual Jacobsthal vector is presented. Some properties of this vector apply to various properties of geometry which are not generally known in the geometry of dual space. Finally, this study introduces the dual Jacobsthal and the dual Jacobsthal-Lucas numbers with coefficients of dual numbers. Some fundamental identities are demonstrated, such as the generating function, the Binet formulas, the Cassini's, Catalan's and d'Ocagne identities for these numbers.
dc.identifier.doi10.3934/math.2023946
dc.identifier.endpage18606
dc.identifier.issn2473-6988
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85161400943
dc.identifier.scopusqualityQ1
dc.identifier.startpage18596
dc.identifier.urihttps://doi.org/10.3934/math.2023946
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24065
dc.identifier.volume8
dc.identifier.wosWOS:001010618200009
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectrecurrences; integer sequences; dual number; dual angle; dual Jacobsthal numbers
dc.titleA new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors
dc.typeArticle

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