Öz
In this paper, the matrices related to Fibonacci, Lucas, Pell, and Pell-Lucas numbers have been examined. By using these matrices new identities related to these integer sequences have been investigated.
Anahtar Kelimeler
Matrix Method Fibonacci Numbers Pell Numbers Lucas Numbers Pell-Lucas Numbers
Kaynakça
- Silvester, J.R. (1979). Fibonacci properties by matrix methods. The Mathematical Gazette, 63(425), 188-191.
- Ercolano, J. (1979). Matrix generator of Pell sequence. Fibonacci Quarterly, 17(1), 71-77.
- Hoggatt, V.E. (1969). Fibonacci and Lucas Numbers. Palo Alto: CA: Houghton- Mifflin.
- Köken, F., & Bozkurt D. (2010). On Lucas numbers by the matrix method. Hacettepe Journal of Mathematics and Statistics, 39, 471-475.
- Akbaba, Ü., Değer, A.H., & Tuylu, T. (2018). On some connections between suborbital graphs and special sequences. Turkish Journal of Mathematics and Computer Science, 10,134-143.
- Değer, A.H. (2017).Vertices of paths of minimal lengths on suborbital graphs. Filomat, 31,913-923.
- Değer, A.H. (2017). Relationships with the Fibonacci numbers and the special vertices of the suborbital graphs. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 7, 168-180.
- Akbaba, Ü. & Değer A.H. (2022). Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics, 46 (3), 753-767.
- Bicknell, M., & Hoggatt, V.E. (1963). Fibonacci Matrices and Lambda Functions. Fibonacci Quarterly, 1(2) 47-52.
- Koshy, T. (2001). Fibonacci and Lucas numbers with applications, A Wiley- Interscience Publication, Canada.
- Koshy, T. (2014). Pell and Pell-Lucas Numbers with Applications. New York: Springer.
Öz
Bu çalışmada, Fibonacci, Lucas, Pell ve Pell-Lucas sayı dizileri ile ilgili matrisler incelendi. Bu matrisleri kullanarak bu tam sayı dizileri ile ilgili yeni özdeşlikler araştırıldı.
Anahtar Kelimeler
Matris Metodu Fibonacci Sayıları Pell Sayıları Lucas Sayıları Pell-Lucas Sayıları
Kaynakça
- Silvester, J.R. (1979). Fibonacci properties by matrix methods. The Mathematical Gazette, 63(425), 188-191.
- Ercolano, J. (1979). Matrix generator of Pell sequence. Fibonacci Quarterly, 17(1), 71-77.
- Hoggatt, V.E. (1969). Fibonacci and Lucas Numbers. Palo Alto: CA: Houghton- Mifflin.
- Köken, F., & Bozkurt D. (2010). On Lucas numbers by the matrix method. Hacettepe Journal of Mathematics and Statistics, 39, 471-475.
- Akbaba, Ü., Değer, A.H., & Tuylu, T. (2018). On some connections between suborbital graphs and special sequences. Turkish Journal of Mathematics and Computer Science, 10,134-143.
- Değer, A.H. (2017).Vertices of paths of minimal lengths on suborbital graphs. Filomat, 31,913-923.
- Değer, A.H. (2017). Relationships with the Fibonacci numbers and the special vertices of the suborbital graphs. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 7, 168-180.
- Akbaba, Ü. & Değer A.H. (2022). Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics, 46 (3), 753-767.
- Bicknell, M., & Hoggatt, V.E. (1963). Fibonacci Matrices and Lambda Functions. Fibonacci Quarterly, 1(2) 47-52.
- Koshy, T. (2001). Fibonacci and Lucas numbers with applications, A Wiley- Interscience Publication, Canada.
- Koshy, T. (2014). Pell and Pell-Lucas Numbers with Applications. New York: Springer.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Mayıs 2023 |
| Gönderilme Tarihi | 15 Aralık 2022 |
| Kabul Tarihi | 6 Mart 2023 |
| Yayımlandığı Sayı | Yıl 2023 |