Algebraic properties of bi$-$periodic dual Fibonacci quaternions

zbMath1488.11031arXiv1704.02865MaRDI QIDQ4957151

Ismail Gök, Nejat Ekmekçi, Fatma Ateş

Publication date: 3 September 2021

Full work available at URL: https://arxiv.org/abs/1704.02865

zbMATH Keywords

dual Fibonacci quaternionsbi-periodic dual Fibonacci quaternionsbi-periodic Fibonacci quaternions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

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Cites Work

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• On Pell quaternions and Pell-Lucas quaternions
• A new approach to Fibonacci, Lucas numbers and dual vectors
• A note on \(h(x)\)-Fibonacci quaternion polynomials
• On a new generalization of Fibonacci quaternions
• A note on generalized Fibonacci sequences
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• On Fibonacci quaternions
• Dual Fibonacci quaternions
• On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions
• On the Fibonacci \(k\)-numbers
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• A Generalized Fibonacci Sequence
• Complex Fibonacci Numbers and Fibonacci Quaternions

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