TR
EN
ON GENERALIZED SİXTH-ORDER PELL SEQUENCES
Öz
In this paper, we investigate the generalized sixth order Pell sequences and we deal with, in detail, three special cases which we call them as sixth order Pell, sixth order Pell-Lucas and modified sixth order Pell sequences.
Anahtar Kelimeler
Kaynakça
- [1] Bicknell, N., A primer on the Pell sequence and related sequence, Fibonacci Quarterly, 13(4), 345-349, 1975.
- [2] Dasdemir, A., On the Pell, Pell-Lucas and Modi.ed Pell Numbers By Matrix Method, Applied Mathematical Sciences, 5(64), 3173-3181, 2011.
- [3] Ercolano, J., Matrix generator of Pell sequence, Fibonacci Quarterly, 17(1), 71-77, 1979.
- [4] Gökbas, H., Köse, H., Some sum formulas for products of Pell and Pell-Lucas numbers, Int. J. Adv. Appl. Math. and Mech. 4(4), 1-4, 2017.
- [5] Hanusa, C., A Generalized Binet.s Formula for kth Order Linear Recurrences: A Markov Chain Approach, Harvey Mudd College, Undergraduate Thesis (Math Senior Thesis), 2001.
- [6] Horadam, A. F., Pell identities, Fibonacci Quarterly, 9(3), 245-263, 1971.
- [7] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
- [8] Kiliç, E., Ta¸sçi, D., The Linear Algebra of The Pell Matrix, Boletín de la Sociedad Matemática Mexicana, 3(11), 2005.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Yüksel Soykan
0000-0002-1895-211X
Türkiye
Yayımlanma Tarihi
31 Ocak 2020
Gönderilme Tarihi
26 Ekim 2019
Kabul Tarihi
14 Ocak 2020
Yayımlandığı Sayı
Yıl 1970 Cilt: 4 Sayı: 1