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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Volume: 13 Issue: 2

On Pell and Pell-Lucas Generalized Octonions

Ümit Tokeşer(KASTAMONU ÜNİVERSİTESİ)0000-0003-4773-8291
Tuğba Mert(CUMHURİYET ÜNİVERSİTESİ)0000-0001-8258-8298
Zafer Ünal(KASTAMONU ÜNİVERSİTESİ)0000-0003-2445-1028
Göksal Bilgici(KASTAMONU ÜNİVERSİTESİ)0000-0001-9964-5578
Pages
—
Publication Date
2021-12-31
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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.
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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.
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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., Bilgici, G. (2021). On Pell and Pell-Lucas Generalized Octonions. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 2. https://doi.org/10.47000/tjmcs.780474

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