The Fibonacci octonions

DOI10.1007/s00006-014-0468-yzbMath1375.11015OpenAlexW2169625067MaRDI QIDQ2340059

Osman Keçilioğlu, Ilker Akkus

Publication date: 15 April 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0468-y

zbMATH Keywords

recurrence relationsoctonionsFibonacci and Lucas numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (20)

Some matrix representations of Fibonacci quaternions and octonions ⋮ Some properties of dual Fibonacci and dual Lucas octonions ⋮ On the bi-periodic Lucas octonions ⋮ On Jacobsthal and Jacobsthal-Lucas octonions ⋮ On dual \(k\)-Pell quaternions and octonions ⋮ Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions ⋮ The Pell quaternions and the Pell octonions ⋮ The modified Pell and the modified \(k\)-Pell quaternions and octonions ⋮ On higher order Fibonacci hyper complex numbers ⋮ On Generalized Tribonacci Sedenions ⋮ Some remarks regarding \(h(x)\)-Fibonacci polynomials in an arbitrary algebra ⋮ On dual Fibonacci octonions ⋮ The generalization of Gaussians and Leonardo's octonions ⋮ Split Fibonacci and Lucas octonions ⋮ New families of Fibonacci and Lucas octonions with \(Q\)-integer components ⋮ On generalization for Tribonacci trigintaduonions ⋮ Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions ⋮ ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS ⋮ The generalized bi-periodic Fibonacci quaternions and octonions ⋮ Some unrestricted Fibonacci and Lucas hyper-complex numbers

Cites Work

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• Cayley-Dickson algebras and loops
• On octonionic polynomials
• Matrix representations of octonions and their applications
• On Fibonacci quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions

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