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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 2

On Pell and Pell-Lucas Generalized Octonions

Ümit TOKEŞER
Tuğba MERT
Zafer ÜNAL
GÖKSAL BİLGİCİ
Pages
226–233
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized octonion · Pell octonion · Pell-Lucas octonion

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.

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Cite This Article

TOKEŞER, Ü., MERT, T., ÜNAL, Z., BİLGİCİ, G. (2021). On Pell and Pell-Lucas Generalized Octonions. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 2, 226–233. https://ajindex.com/articles/403464

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