On a generalization for Fibonacci quaternions

DOI10.1016/J.CHAOS.2017.03.037zbMath1372.11015OpenAlexW2599636076MaRDI QIDQ2410562

Serpil Halici, Adnan Karataş

Publication date: 18 October 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.03.037

zbMATH Keywords

quaterniongeneralized Fibonacci sequenceHoradam sequence

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (18)

Some results on Horadam quaternions ⋮ On higher order Fibonacci hyper complex numbers ⋮ On Generalized Tribonacci Sedenions ⋮ On generalized Pentanacci quaternions ⋮ On the combined Jacobsthal-Padovan generalized quaternions ⋮ Some identities involving (p,q)-Fibonacci and Lucas quaternions ⋮ Generalized Pascal's triangles and associated \(k\)-Padovan-like sequences ⋮ On quaternion equivalents for quasi-Fibonacci numbers, shortly quaternaccis ⋮ On a new generalization of Fibonacci hybrid numbers ⋮ On a generalization for Tribonacci quaternions ⋮ On the binomial transforms of the Horadam quaternion sequences ⋮ Unnamed Item ⋮ An extension of Lucas identity via Pascal's triangle ⋮ Unnamed Item ⋮ On higher order Fibonacci quaternions ⋮ The generalized bi-periodic Fibonacci quaternions and octonions ⋮ On quaternion Gaussian bronze Fibonacci numbers ⋮ Unnamed Item

Cites Work

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• Complex quaternionic reformulation of the relativistic elastic collision problem
• A Generalized Fibonacci Sequence
• Complex Fibonacci Numbers and Fibonacci Quaternions

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