Research Article
Year 2023,
Volume: 10 Issue: 1, 209 - 216, 31.05.2023
Abstract
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.
References
- 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.
Year 2023,
Volume: 10 Issue: 1, 209 - 216, 31.05.2023
Abstract
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.
References
- 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.
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | May 31, 2023 |
| Submission Date | December 15, 2022 |
| Acceptance Date | March 6, 2023 |
| Published in Issue | Year 2023 Volume: 10 Issue: 1 |