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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2026 / Sayı: 41

Fibonacci 3-Parameter Generalized Quaternions

Genelleştirilmiş 3-Parametreli Fibonacci Kuaterniyonları

Göksal Bilgici(Kastamonu Üniversitesi)0000-0001-9964-5578
Pages
357–361
Publication Date
2022-11-30
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AI Summary & Key Takeaways

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

After obtaining Binet formulas for these quaternions, generalizations of some well-known identities are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:There are many studies on Fibonacci quaternions and their generalizations.
📊
Key Findings & Data:Recently, Şentürk and Ünal (2022) introduced 3-parameter generalized quaternions.
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Conclusion & Impact:After obtaining Binet formulas for these quaternions, generalizations of some well-known identities are presented.
🔬Design:Araştırma Makalesi
📍Scope:2022 Verileri
⚙️Variables:Fibonacci kuaterniyonları · Lucas kuaterniyonları · Genelleştirilmiş 3-parametreli kuaterniyonlar

Abstract

There are many studies on Fibonacci quaternions and their generalizations. Recently, Şentürk and Ünal (2022) introduced 3-parameter generalized quaternions. The goal of this study is to introduce Fibonacci and Lucas 3-parameter generalized quaternions and to investigate their properties. After obtaining Binet formulas for these quaternions, generalizations of some well-known identities are presented.

Özet

Fibonacci kuaterniyonları ve bu kuaterniyonların genelleştirmeleri hakkında birçok çalışma göze çarpmaktadır. Geçtiğimiz günlerde Şentürk and Ünal (2022), 3-parametreli genellştirilmiş kuaterniyonları tanıtmışlardır. Bu çalışmada genelleştirilmiş 3-parametreli Fibonacci ve Lucas kuaterniyonları tanıtılmış ve özellikleri araştırılmıştır. Bu kuaterniyonlar için Binet formülleri elde edildikten sonra iyi bilinen bazı özdeşliklerin genelleştirmeleri sunulmuştur.

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Cite This Article

Bilgici, G. (2022). Fibonacci 3-Parameter Generalized Quaternions. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 41, 357–361. https://doi.org/10.31590/ejosat.1166686

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