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Unrestricted Fibonacci and Lucas quaternions

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dc.contributor.authorDAŞDEMİR, Ahmet
dc.contributor.authorBİLGİCİ, Göksal
dc.date.accessioned2026-01-04T15:08:45Z
dc.date.issued2021-03-01
dc.description.abstractMany quaternion numbers associated with Fibonacci and Lucas numbers or even their generalizations have been defined and widely discussed so far. In all the studies, the coefficients of these quaternions have been selected from consecutive terms of these numbers. In this study, we define other generalizations for the usual Fibonacci and Lucas quaternions. We also present some properties, including the Binet's formulas and d'Ocagne's identities, for these types of quaternions.
dc.description.urihttps://doi.org/10.33401/fujma.752758
dc.description.urihttps://dergipark.org.tr/en/download/article-file/1150737
dc.description.urihttps://dx.doi.org/10.33401/fujma.752758
dc.description.urihttps://dergipark.org.tr/tr/pub/fujma/issue/60068/752758
dc.identifier.doi10.33401/fujma.752758
dc.identifier.endpage9
dc.identifier.issn2645-8845
dc.identifier.openairedoi_dedup___::106054aaef6aa491bdadef4f7036a36a
dc.identifier.orcid0000-0001-8352-2020
dc.identifier.orcid0000-0001-9964-5578
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/20.500.12597/38628
dc.identifier.volume4
dc.publisherFundamental Journal of Mathematics and Applications
dc.relation.ispartofFundamental Journal of Mathematics and Applications
dc.rightsOPEN
dc.subjectMatematik
dc.subjectFibonacci quaternion
dc.subjectLucas quaternion
dc.subjectBinet&#039
dc.subjects formula
dc.subjectCatalan&#039
dc.subjects identity
dc.subjectGenerating function
dc.subjectMathematical Sciences
dc.titleUnrestricted Fibonacci and Lucas quaternions
dc.typeArticle
dspace.entity.typePublication
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