A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers

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dc.authoridhttp://orcid.org/0000-0001-8407-854Xen_US
dc.authoridhttp://orcid.org/0000-0002-8647-1801en_US
dc.authoridhttp://orcid.org/0000-0002-8296-6495en_US
dc.contributor.authorGürses, Nurten
dc.contributor.authorŞentürk, Gülsüm Yeliz
dc.contributor.authorYüce, Salim
dc.date.accessioned2023-10-11T17:48:31Z
dc.date.available2023-10-11T17:48:31Z
dc.date.issued2022en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThis paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations. Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and dual-hyperbolic situations as special cases and allows general contributions to the literature for all real number p. For this purpose, Binet’s formulas along with Tagiuri’s, Hornsberger’s, D’Ocagne’s, Cassini’s and Catalan’s identities, are calculated for dual-generalized complex Fibonacci and Lucas numbers. Finally, the results are given, and the special cases for this unification are classified.en_US
dc.identifier.doi10.14744/sigma.2022.00014en_US
dc.identifier.endpage187en_US
dc.identifier.issn1304-7205
dc.identifier.issn1304-7191
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85145682278en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage179en_US
dc.identifier.urihttps://hdl.handle.net/11363/5839
dc.identifier.urihttps://doi.org/
dc.identifier.volume40en_US
dc.identifier.wosWOS:000777898300012en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorŞentürk, Gülsüm Yeliz
dc.language.isoenen_US
dc.publisherYıldız Teknik Üniversitesien_US
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences - Sigma Mühendislik ve Fen Bilimleri Dergisien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDual-generalized complex numbersen_US
dc.subjectFibonacci numbersen_US
dc.subjectLucas numbers MSC 2010en_US
dc.subject11B39en_US
dc.subject11B83en_US
dc.titleA comprehensive survey of dual-generalized complex Fibonacci and Lucas numbersen_US
dc.typeArticleen_US

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