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Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions

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dc.contributor.authorMert, Tuğba
dc.contributor.authorUnal, Zafer
dc.contributor.authorTokeşer, Umit
dc.contributor.authorBilgici, Goksal
dc.date.accessioned2026-01-04T16:10:47Z
dc.date.issued2022-01-01
dc.description.abstractSummary: We study on Jacobsthal and Jacobsthal-Lucas generalized octonions over the algebra \(\mathbb{O}(a, b, c)\) where \(a\), \(b\) and \(c\) are real numbers. We present Binet formulas for these types of octonions. Furthermore, we give some well-known identities such as Catalan's, Cassini's, d'Ocagne's identities and other special identities for Jacobsthal and Jacobsthal-Lucas generalized octonions.
dc.description.urihttps://doi.org/10.22080/cjms.2020.18779.1490
dc.description.urihttps://zbmath.org/7582425
dc.description.urihttps://dx.doi.org/10.22080/cjms.2020.18779.1490
dc.identifier.doi10.22080/cjms.2020.18779.1490
dc.identifier.openairedoi_dedup___::752bca352b8ca5895f15e41c6ea95466
dc.identifier.scopus2-s2.0-105023572156
dc.identifier.urihttps://hdl.handle.net/20.500.12597/39327
dc.publisherUniversity of Mazandaran, Babolsar
dc.rightsCLOSED
dc.subjectgeneralized octonion
dc.subjectJacobsthal octonion
dc.subjectJacobsthal-Lucas octonion
dc.subjectFibonacci and Lucas numbers and polynomials and generalizations
dc.subjectQuaternion and other division algebras: arithmetic, zeta functions
dc.titleSome Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions
dc.typeArticle
dspace.entity.typePublication
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