Öz
Bu makalede, Quadra Lucas-Jacobsthal sayıları tanımlanmış ve bu dizilerin çeşitli özellikleri verilmiştir. Dahası elamanları Quadra Lucas-Jacobsthal sayıları olan sirkülant matrislerin spektral normları elde edilmiştir
Anahtar Kelimeler
Binet formülü Sirkülant matris Jacobsthal sayıları Lucas sayıları
Kaynakça
- Horn, R., Johnson, C. 1985. Matrix Analysis, Cambridge University Press.
- Horzum, T., Gökcen, K. 2009. On some properties of Horadam polynomials, Int. Math. Forum, 25: 1243-1252.
- Koshy, T. 2001. Fibonacci and Lucas numbers with applications, John Wiley and Sons.
- Özkoç, A. 2015. Some algebraic identities on quadra Fibona- Pell integer sequence, Adv. Difference Equ., 2015:148.
- Taşçı, D. 2009. On Quadrapell numbers and Quadrapell polynomials, Hacet. J. Math. Stat., 38(3): 265-275.
- Tekcan, A., Özkoç, A., Engür, M., Özbek, ME. 2016. On algebraic identities on a new integer sequence with four parameters. Ars Combin., 127: 225-238.
- Tuğlu, N., Kızılateş, C. 2015. On the norms of circulant and circulant matrices with the hyperharmonic Fibonacci numbers, J. Inequal. Appl., 2015:253.
Öz
In this paper, we define the Quadra Lucas-Jacobsthal numbers and then, we give some properties of this sequence. Moreover, we obtain spectral norms of circulant matrices with Quadra Lucas-Jacobsthal numbers.
Anahtar Kelimeler
Lucas Numbers Jacobsthal Numbers Binet’s Formula Circulant Matrix
Kaynakça
- Horn, R., Johnson, C. 1985. Matrix Analysis, Cambridge University Press.
- Horzum, T., Gökcen, K. 2009. On some properties of Horadam polynomials, Int. Math. Forum, 25: 1243-1252.
- Koshy, T. 2001. Fibonacci and Lucas numbers with applications, John Wiley and Sons.
- Özkoç, A. 2015. Some algebraic identities on quadra Fibona- Pell integer sequence, Adv. Difference Equ., 2015:148.
- Taşçı, D. 2009. On Quadrapell numbers and Quadrapell polynomials, Hacet. J. Math. Stat., 38(3): 265-275.
- Tekcan, A., Özkoç, A., Engür, M., Özbek, ME. 2016. On algebraic identities on a new integer sequence with four parameters. Ars Combin., 127: 225-238.
- Tuğlu, N., Kızılateş, C. 2015. On the norms of circulant and circulant matrices with the hyperharmonic Fibonacci numbers, J. Inequal. Appl., 2015:253.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 7 Sayı: 2 |