On hyper-dual vectors and angles with Pell, Pell-Lucas numbers

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dc.contributor.authorBabadag, Faik
dc.contributor.authorAtasoy, Ali
dc.date.accessioned2025-01-21T16:43:05Z
dc.date.available2025-01-21T16:43:05Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we introduce two types of hyper-dual numbers with components including Pell and Pell-Lucas numbers. This novel approach facilitates our understanding of hyper-dual numbers and properties of Pell and Pell-Lucas numbers. We also investigate fundamental properties and identities associated with Pell and Pell-Lucas numbers, such as the Binet-like formulas, Vajda-like, Catalan-like, Cassini-like, and d'Ocagne-like identities. Furthermore, we also define hyper-dual vectors by using Pell and Pell-Lucas vectors and discuse hyper-dual angles. This extensionis not only dependent on our understanding of dual numbers, it also highlights the interconnectedness between integer sequences and geometric concepts.
dc.identifier.doi10.3934/math.20241480
dc.identifier.endpage30666
dc.identifier.issn2473-6988
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85208650479
dc.identifier.scopusqualityQ1
dc.identifier.startpage30655
dc.identifier.urihttps://doi.org/10.3934/math.20241480
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25200
dc.identifier.volume9
dc.identifier.wosWOS:001346103400001
dc.identifier.wosqualityN/A
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.subjecthyper-dual Pell number; hyper-dual Pell-Lucas number; hyper-dual Pell vector; hyper-dual angle
dc.titleOn hyper-dual vectors and angles with Pell, Pell-Lucas numbers
dc.typeArticle

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