dc.contributor.author | Gürses, Nurten | |
dc.contributor.author | Şentürk, Gülsüm Yeliz | |
dc.contributor.author | Yüce, Salim | |
dc.date.accessioned | 2023-10-11T17:48:31Z | |
dc.date.available | 2023-10-11T17:48:31Z | |
dc.date.issued | 2022 | en_US |
dc.identifier.issn | 1304-7205 | |
dc.identifier.issn | 1304-7191 | |
dc.identifier.uri | https://hdl.handle.net/11363/5839 | |
dc.description.abstract | This 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.language.iso | eng | en_US |
dc.publisher | Yıldız Teknik Üniversitesi | en_US |
dc.relation.isversionof | 10.14744/sigma.2022.00014 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Dual-generalized complex numbers | en_US |
dc.subject | Fibonacci numbers | en_US |
dc.subject | Lucas numbers MSC 2010 | en_US |
dc.subject | 11B39 | en_US |
dc.subject | 11B83 | en_US |
dc.title | A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers | en_US |
dc.type | article | en_US |
dc.relation.ispartof | Sigma Journal of Engineering and Natural Sciences - Sigma Mühendislik ve Fen Bilimleri Dergisi | en_US |
dc.department | Mühendislik ve Mimarlık Fakültesi | en_US |
dc.authorid | http://orcid.org/0000-0001-8407-854X | en_US |
dc.authorid | http://orcid.org/0000-0002-8647-1801 | en_US |
dc.authorid | http://orcid.org/0000-0002-8296-6495 | en_US |
dc.identifier.volume | 40 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 179 | en_US |
dc.identifier.endpage | 187 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Şentürk, Gülsüm Yeliz | |