On a new generalization of Fibonacci quaternions

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dc.contributor.authorTan, Elif
dc.contributor.authorYilmaz, Semih
dc.contributor.authorSahina, Murat
dc.date.accessioned2020-06-25T18:22:31Z
dc.date.available2020-06-25T18:22:31Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we present a new generalization of the Fibonacci quaternions that are emerged as a generalization of the best known quaternions in the literature, such as classical Fibonacci quaternions, Pell quaternions, k-Fibonacci quaternions. We give the generating function and the Binet formula for these quaternions. By using the Billet formula, we obtain some well-known results. Also, we correct some results in [3] and [4] which have been overlooked that the quaternion multiplication is non commutative. (C) 2015 Elsevier Ltd. All rights reserved.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1016/j.chaos.2015.10.021
dc.identifier.endpage4en_US
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-84946949765
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2015.10.021
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6780
dc.identifier.volume82en_US
dc.identifier.wosWOS:000368227600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFibonacci sequenceen_US
dc.subjectGeneralized Fibonacci sequenceen_US
dc.subjectRecurrence relationsen_US
dc.subjectQuaternionsen_US
dc.titleOn a new generalization of Fibonacci quaternionsen_US
dc.typeArticle

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