On the pseudo-Fibonacci and pseudo-Lucas quaternions

DOI10.21608/EJMAA.2023.241678.1082MaRDI QIDQ6598244

Hamza Menken, Orhan Dişkaya

Publication date: 4 September 2024

Published in: Electronic Journal of Mathematical Analysis and Applications EJMAA (Search for Journal in Brave)

zbMATH Keywords

quaternionsFibonacci numbersLucas numbers

Mathematics Subject Classification ID

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

Cites Work

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• On Pell quaternions and Pell-Lucas quaternions
• A generalization of Fibonacci and Lucas quaternions
• A new aspect of dual Fibonacci quaternions
• Fibonacci generalized quaternions
• A note on bi-periodic Fibonacci and Lucas quaternions
• On Fibonacci quaternions
• On generalized Pentanacci quaternions
• On the combined Jacobsthal-Padovan generalized quaternions
• Identities for third order Jacobsthal quaternions
• On \((p,q)\)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums
• The quaternion-Pell sequence
• Quaternions and matrices of quaternions
• Padovan and Perrin generalized quaternions

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