A new approach to Leonardo number sequences with the dual vector and dual angle representation

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dc.contributor.authorBabadag, Faik
dc.contributor.authorAtasoy, Ali
dc.date.accessioned2025-01-21T16:35:03Z
dc.date.available2025-01-21T16:35:03Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we introduce dual numbers with components including Leonardo number sequences. This novel approach facilitates our understanding of dual numbers and properties of Leonardo sequences. We also investigate fundamental properties and identities associated with Leonardo number sequences, such as Binet's formula and Catalan's, Cassini's and D'ocagne's identities. Furthermore, we also introduce a dual vector with components including Leonardo number sequences and dual angles. This extension not only deepens our understanding of dual numbers, it also highlights the interconnectedness between numerical sequences and geometric concepts. In the future it would be valuable to replicate a similar exploration and development of our findings on dual numbers with Leonardo number sequences.
dc.identifier.doi10.3934/math.2024684
dc.identifier.endpage14074
dc.identifier.issn2473-6988
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85192501504
dc.identifier.scopusqualityQ1
dc.identifier.startpage14062
dc.identifier.urihttps://doi.org/10.3934/math.2024684
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24066
dc.identifier.volume9
dc.identifier.wosWOS:001209050700002
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.subjectLeonardo number sequences; recurrences; dual vector; dual angle
dc.titleA new approach to Leonardo number sequences with the dual vector and dual angle representation
dc.typeArticle

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