On higher order Fibonacci quaternions

DOI10.1007/S41478-020-00295-1zbMath1486.11021OpenAlexW3126930083MaRDI QIDQ2064072

Tiekoro Kone, Can Kızılateş

Publication date: 4 January 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00295-1

zbMATH Keywords

generating functionsrecurrence relationFibonacci quaternionshigher order Fibonacci quaternions

Mathematics Subject Classification ID

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

Related Items (5)

On higher order Fibonacci hyper complex numbers ⋮ Unnamed Item ⋮ Generalized commutative quaternion polynomials of the Fibonacci type ⋮ On hyper complex numbers with higher order Pell numbers components ⋮ On split quaternion equivalents for quaternaccis, shortly split quaternaccis

Cites Work

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• A generalization of Fibonacci and Lucas quaternions
• Fibonacci generalized quaternions
• On a new generalization of Fibonacci quaternions
• A note on bi-periodic Fibonacci and Lucas quaternions
• On quaternions with generalized Fibonacci and Lucas number components
• On Fibonacci quaternions
• On a generalization for Fibonacci quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions

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