INVESTIGATING THE DUAL QUATERNION EXTENSION OF THE DGC LEONARDO SEQUENCE

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dc.contributor.authorYilmaz, Cigdemigdem zeynep
dc.contributor.authorSacli, Gulsum yeliz
dc.date.accessioned2026-04-04T18:56:12Z
dc.date.available2026-04-04T18:56:12Z
dc.date.issued2024
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractIn this study, we introduce a new generalization of the Leonardo sequence, dual quaternions with the DGC Leonardo sequence coefficients, depending on the parameter p is an element of R. This generalization gives dual quaternions with the dual-complex Leonardo sequence for p = -1, dual quaternions with the hyper-dual Leonardo sequence for p = 0, and dual quaternions with the dual-hyperbolic Leonardo sequence for p = 1. The basic algebraic structures and some special characteristic relations are presented, as well as the Binet's formula, generating function, d'Ocagne's, Catalan's, Cassini's, and Tagiuri's identities.
dc.description.sponsorshipTUBITAK BIDEB 2209-A Research Project Support Programme for Undergraduate Students 2022 1st Term (The Scientific and Technological Research Council of Turkiye-Directorate of Science Fellowships and Grant Programmes) [1919B012203959]
dc.description.sponsorshipThis work has been supported by TUBITAK BIDEB 2209-A Research Project Support Programme for Undergraduate Students 2022 1st Term (The Scientific and Technological Research Council of Turkiye-Directorate of Science Fellowships and Grant Programmes) under support number 1919B012203959.
dc.identifier.doi10.5831/HMJ.2024.46.4.677
dc.identifier.doi10.5831/HMJ.2024.46.4.677
dc.identifier.endpage696
dc.identifier.issn1225-293X
dc.identifier.issn2288-6176
dc.identifier.issue4
dc.identifier.startpage677
dc.identifier.urihttps://doi.org/10.5831/HMJ.2024.46.4.677
dc.identifier.urihttps://hdl.handle.net/11411/10739
dc.identifier.volume46
dc.identifier.wosWOS:001415827400012
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherHonam Mathematical Soc
dc.relation.ispartofHonam Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260402
dc.subjectLeonardo Sequence
dc.subjectDual Quaternion
dc.subjectDual-Generalized Complex Number
dc.subjectRecurrence Relation
dc.subjectHttps
dc.titleINVESTIGATING THE DUAL QUATERNION EXTENSION OF THE DGC LEONARDO SEQUENCE
dc.typeArticle

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