Split Fibonacci and Lucas octonions

DOI10.1007/s00006-014-0515-8zbMath1320.11012OpenAlexW2016320827MaRDI QIDQ497148

Osman Keçilioğlu, Ilker Akkus

Publication date: 23 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00006-014-0515-8

zbMATH Keywords

recurrence relationsFibonacci and Lucas numberssplit octonions

Mathematics Subject Classification ID

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

Related Items (11)

The reciprocal sums of even and odd terms in the Fibonacci sequence ⋮ Some properties of dual Fibonacci and dual Lucas octonions ⋮ On the bi-periodic Lucas octonions ⋮ On Jacobsthal and Jacobsthal-Lucas octonions ⋮ Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions ⋮ The modified Pell and the modified \(k\)-Pell quaternions and octonions ⋮ Some remarks regarding \(h(x)\)-Fibonacci polynomials in an arbitrary algebra ⋮ New families of Fibonacci and Lucas octonions with \(Q\)-integer components ⋮ Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions ⋮ ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS ⋮ ASYMPTOTICS OF THE SOLUTION TO THE BISINGULAR PERTURBED DIRICHLET PROBLEM IN THE RING WITH QUADRATIC GROWTH ON THE BOUNDARY

Cites Work

• Cayley-Dickson algebras and loops
• On octonionic polynomials
• Matrix representations of octonions and their applications
• A new weighted metric: the relative metric. I
• On Fibonacci quaternions
• The Fibonacci octonions
• Split Fibonacci quaternions
• On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions
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