Hyperbolic \(k\)-Jacobsthal and \(k\)-Jacobsthal-Lucas quaternions

DOI10.1007/s13226-021-00202-9zbMath1505.11030OpenAlexW4200280419WikidataQ115601057 ScholiaQ115601057MaRDI QIDQ2095075

Engin Özkan, A. D. Godase, Mine Uysal

Publication date: 9 November 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00202-9

zbMATH Keywords

binet formulaCassini identityCatalan identityhyperbolic \(k\)-Jacobsthal quaternionshyperbolic \(k\)-Jacobsthal-Lucas quaternions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A note on Jacobsthal quaternions
• New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers
• Properties of \(k\)-Fibonacci and \(k\)-Lucas octonions
• Complex Fibonacci Numbers and Fibonacci Quaternions

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