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Journals / Türk Doğa ve Fen Dergisi / 2026 / Cilt: 13 Sayı: 3

Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Gülsüm Liman(SAKARYA ÜNİVERSİTESİ)0000-0003-0214-6102
Refik Keskin(SAKARYA ÜNİVERSİTESİ)0000-0003-2547-2082
Pages
124–126
Publication Date
2024-09-26
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AI Summary & Key Takeaways

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

Then we give some identities concerning the terms of those sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences.
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Key Findings & Data:In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences.
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Conclusion & Impact:Then we give some identities concerning the terms of those sequences.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci Numbers · Lucas Numbers · Generalized Fibonacci Numbers

Abstract

In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences. Then we give some identities concerning the terms of those sequences.

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Cite This Article

Liman, G., Keskin, R. (2024). Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Türk Doğa ve Fen Dergisi, Cilt: 13 Sayı: 3, 124–126. https://doi.org/10.46810/tdfd.1405609

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References (5)

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  2. Ribenboim P. My numbers, my friends: Popular lectures on number theory. Springer Verlag: Berlin-Heidelberg; 2000.
  3. Kalman D, Mena R. The Fibonacci numbers-exposed. Math. Mag. 2003;76:167-181.
  4. Şiar Z, Keskin R. Some new identities concerning generalized Fibonacci and Lucas numbers. Hacet. J. Math. Stat. 2013;42:211-222.
  5. Ballot CJ.-C, Williams HC. The Lucas sequences: Theory and applications. Springer; 2023.