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Vajda’s Identities for Dual Fibonacci and Dual Lucas Sedenions

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dc.contributor.authorÜnal, Zafer
dc.date.accessioned2026-01-05T23:17:35Z
dc.date.issued2023-04-01
dc.description.abstractFibonacci and Lucas numbers have been the most popular integer sequences since they were defined. These integer sequences have many uses, from nature to computer science, from art to financial analysis. Many researchers have worked on this subject. Sedenions form a 16-dimensional algebra on the field of real numbers. Various systems can be constructed by using the terms of special integer sequences instead of terms in sedenions. In this study, we define dual Fibonacci (DFS) and dual Lucas sedenions (DLS) with the help of Fibonacci and Lucas termed sedenions. Then we calculate some special identities for DFS and DLS such as Vajda's, Catalan's, d'Ocagne's, Cassini's.
dc.description.urihttps://doi.org/10.34248/bsengineering.1253548
dc.description.urihttps://dergipark.org.tr/tr/pub/bsengineering/issue/75852/1253548
dc.identifier.doi10.34248/bsengineering.1253548
dc.identifier.eissn2619-8991
dc.identifier.endpage101
dc.identifier.openairedoi_dedup___::a03f73584e0d1c122750869af83c98f6
dc.identifier.orcid0000-0003-2445-1028
dc.identifier.startpage98
dc.identifier.urihttps://hdl.handle.net/20.500.12597/43697
dc.identifier.volume6
dc.publisherBlack Sea Journal of Engineering and Science
dc.relation.ispartofBlack Sea Journal of Engineering and Science
dc.rightsOPEN
dc.subjectEngineering
dc.subjectMühendislik
dc.subjectFibonacci and Lucas numbers
dc.subjectDual numbers
dc.subjectSedenions
dc.subjectVajda’s identity
dc.subjectBinet-like formula
dc.titleVajda’s Identities for Dual Fibonacci and Dual Lucas Sedenions
dc.typeArticle
dspace.entity.typePublication
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