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Dergiler / 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
Sayfa
124–126
Yayın Tarihi
2024-09-26
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences.
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Temel Bulgular & Veri:In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences.
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Sonuç & Katkı:Then we give some identities concerning the terms of those sequences.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (5)

  1. Lucas E. Théories des fonctions numériques simplement périodiqués. Amer. J. Math. 1878;1:184-240.
  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.