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Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Yıl 2024, Cilt: 13 Sayı: 3, 124 - 126, 26.09.2024

Gülsüm Liman , Refik Keskin

https://doi.org/10.46810/tdfd.1405609

Öz

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.

Anahtar Kelimeler

Fibonacci Numbers Lucas Numbers Generalized Fibonacci Numbers Generalized Lucas Numbers

Kaynakça

  • Lucas E. Théories des fonctions numériques simplement périodiqués. Amer. J. Math. 1878;1:184-240.
  • Ribenboim P. My numbers, my friends: Popular lectures on number theory. Springer Verlag: Berlin-Heidelberg; 2000.
  • Kalman D, Mena R. The Fibonacci numbers-exposed. Math. Mag. 2003;76:167-181.
  • Şiar Z, Keskin R. Some new identities concerning generalized Fibonacci and Lucas numbers. Hacet. J. Math. Stat. 2013;42:211-222.
  • Ballot CJ.-C, Williams HC. The Lucas sequences: Theory and applications. Springer; 2023.

Yıl 2024, Cilt: 13 Sayı: 3, 124 - 126, 26.09.2024

Gülsüm Liman , Refik Keskin

https://doi.org/10.46810/tdfd.1405609

Öz

Kaynakça

  • Lucas E. Théories des fonctions numériques simplement périodiqués. Amer. J. Math. 1878;1:184-240.
  • Ribenboim P. My numbers, my friends: Popular lectures on number theory. Springer Verlag: Berlin-Heidelberg; 2000.
  • Kalman D, Mena R. The Fibonacci numbers-exposed. Math. Mag. 2003;76:167-181.
  • Şiar Z, Keskin R. Some new identities concerning generalized Fibonacci and Lucas numbers. Hacet. J. Math. Stat. 2013;42:211-222.
  • Ballot CJ.-C, Williams HC. The Lucas sequences: Theory and applications. Springer; 2023.
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematiksel Fizikte Cebirsel Yapılar
Bölüm Makaleler
Yazarlar

Gülsüm Liman 0000-0003-0214-6102

Refik Keskin 0000-0003-2547-2082

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 Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. Eylül 2024;13(3):124-126. doi:10.46810/tdfd.1405609
Chicago Liman, Gülsüm, ve Refik Keskin. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa Ve Fen Dergisi 13, sy. 3 (Eylül 2024): 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 G. Liman ve R. Keskin, “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”, TDFD, c. 13, sy. 3, ss. 124–126, 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 (Eylül 2024), 124-126. https://doi.org/10.46810/tdfd.1405609.
JAMA 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, 2024, ss. 124-6, doi:10.46810/tdfd.1405609.
Vancouver Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 2024;13(3):124-6.
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