Araştırma Makalesi

Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Cilt: 13 Sayı: 3 26 Eylül 2024
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Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

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.

Keywords

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematiksel Fizikte Cebirsel Yapılar

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

26 Eylül 2024

Gönderilme Tarihi

15 Aralık 2023

Kabul Tarihi

26 Ağustos 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 13 Sayı: 3

Kaynak Göster

APA
Liman, G., & Keskin, R. (2024). Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Türk Doğa ve Fen Dergisi, 13(3), 124-126. https://doi.org/10.46810/tdfd.1405609
AMA
1.Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 2024;13(3):124-126. doi:10.46810/tdfd.1405609
Chicago
Liman, Gülsüm, ve Refik Keskin. 2024. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa ve Fen Dergisi 13 (3): 124-26. https://doi.org/10.46810/tdfd.1405609.
EndNote
Liman G, Keskin R (01 Eylül 2024) Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Türk Doğa ve Fen Dergisi 13 3 124–126.
IEEE
[1]G. Liman ve R. Keskin, “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”, TDFD, c. 13, sy 3, ss. 124–126, Eyl. 2024, doi: 10.46810/tdfd.1405609.
ISNAD
Liman, Gülsüm - Keskin, Refik. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa ve Fen Dergisi 13/3 (01 Eylül 2024): 124-126. https://doi.org/10.46810/tdfd.1405609.
JAMA
1.Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 2024;13:124–126.
MLA
Liman, Gülsüm, ve Refik Keskin. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa ve Fen Dergisi, c. 13, sy 3, Eylül 2024, ss. 124-6, doi:10.46810/tdfd.1405609.
Vancouver
1.Gülsüm Liman, Refik Keskin. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 01 Eylül 2024;13(3):124-6. doi:10.46810/tdfd.1405609