On Pell and Pell-Lucas Generalized Octonions

Abstract

In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra $\mathbb{O}(a,b,c)$ where $a,b$ and $c$ are real numbers. For these number sequences, we obtain Binet formulas and gave some well-known identities such as Catalan's identity, Cassini's identity and d'Ocagne's identity.

Keywords

• Generalized octonion
• Pell octonion
• Pell-Lucas octonion

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