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Journals / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

Horadam $2^{k}$-Ions

Melih GÖCEN
Yüksel SOYKAN
Pages
492–501
Publication Date
2019-10-15
DOI
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AI Summary & Key Takeaways

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

We also present connection to some earlier works.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we generalize Fibonacci quaternion, octonion, sedenion, trigintaduonion, etc. and define Horadam $2^{k}$-ions and investigate their properties.
📊
Key Findings & Data:Each Horadam (such as Fibonacci, Lucas, Pell) quaternions, octonions and sedenions are Horadam $2^{k}$-ions.
💡
Conclusion & Impact:We also present connection to some earlier works.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:quaternions · octonions · sedenions

Abstract

In this paper, we generalize Fibonacci quaternion, octonion, sedenion, trigintaduonion, etc. and define Horadam $2^{k}$-ions and investigate their properties. Each Horadam (such as Fibonacci, Lucas, Pell) quaternions, octonions and sedenions are Horadam $2^{k}$-ions. We also present connection to some earlier works.

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Cite This Article

GÖCEN, M., SOYKAN, Y. (2019). Horadam $2^{k}$-Ions. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 492–501. https://ajindex.com/articles/786513

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