On complex Fibonacci quaternions

DOI10.1007/s00006-012-0337-5zbMath1270.11012OpenAlexW2097583789MaRDI QIDQ1945472

Serpil Halici

Publication date: 8 April 2013

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

Full work available at URL: https://doi.org/10.1007/s00006-012-0337-5

zbMATH Keywords

quaternionsrecurrence relationsFibonacci numbers

Mathematics Subject Classification ID

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

Related Items (26)

Identities for third order Jacobsthal quaternions ⋮ Some matrix representations of Fibonacci quaternions and octonions ⋮ On Jacobsthal and Jacobsthal-Lucas octonions ⋮ On Pell quaternions and Pell-Lucas quaternions ⋮ The Pell quaternions and the Pell octonions ⋮ A note on Jacobsthal quaternions ⋮ A new aspect of dual Fibonacci quaternions ⋮ Some results on dual third-order Jacobsthal quaternions ⋮ A note on hyperbolic (p,q)-Fibonacci quaternions ⋮ Some remarks regarding \(h(x)\)-Fibonacci polynomials in an arbitrary algebra ⋮ On dual Fibonacci octonions ⋮ Investigation of dual-complex Fibonacci, dual-complex Lucas numbers and their properties ⋮ Hybrid Quaternions of Leonardo ⋮ On a generalization for Tribonacci quaternions ⋮ Erratum to: ``Some matrix representations of Fibonacci quaternions and octonions ⋮ Real matrix representations for the complex quaternions ⋮ \((1,1)\)-forms acting on spinors on Kähler surfaces ⋮ A new approach to Fibonacci, Lucas numbers and dual vectors ⋮ A note on \(h(x)\)-Fibonacci quaternion polynomials ⋮ Unnamed Item ⋮ New families of Fibonacci and Lucas octonions with \(Q\)-integer components ⋮ Some special number sequences obtained from a difference equation of degree three ⋮ Bicomplex Fibonacci quaternions ⋮ On split quaternion equivalents for quaternaccis, shortly split quaternaccis ⋮ A new approach to Jacobsthal quaternions ⋮ Dual Fibonacci quaternions

Cites Work

• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions
• Determination of the biquaternion divisors of zero, including the idempotents and nilpotents.
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