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

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dc.contributor.authorGurses, Nurten
dc.contributor.authorSenturk, Gulsum Yeliz
dc.contributor.authorYuce, Salim
dc.date.accessioned2026-06-27T14:45:04Z
dc.date.issued2022
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 Catalans 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
dc.description.urihttps://doi.org/10.14744/sigma.2022.00014
dc.identifier.doi10.14744/sigma.2022.00014
dc.identifier.eissn1304-7191
dc.identifier.endpage187
dc.identifier.issn1304-7205
dc.identifier.issue1
dc.identifier.startpage179
dc.identifier.urihttps://hdl.handle.net/20.500.14981/64303
dc.identifier.volume40
dc.identifier.wos000777898300012
dc.language.isoeng
dc.publisherYILDIZ TECHNICAL UNIV
dc.relation.ispartofSIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
dc.rightsopenAccess
dc.subjectDual-generalized complex numbers
dc.subjectFibonacci numbers
dc.subjectLucas numbers MSC 2010
dc.subject11B39
dc.subject11B83
dc.subjectEngineering
dc.titleA comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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