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ON GENERALIZED SİXTH-ORDER PELL SEQUENCES

Cilt: 4 Sayı: 1 31 Ocak 2020
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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. [1] Bicknell, N., A primer on the Pell sequence and related sequence, Fibonacci Quarterly, 13(4), 345-349, 1975.
  2. [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. [3] Ercolano, J., Matrix generator of Pell sequence, Fibonacci Quarterly, 17(1), 71-77, 1979.
  4. [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. [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. [6] Horadam, A. F., Pell identities, Fibonacci Quarterly, 9(3), 245-263, 1971.
  7. [7] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
  8. [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

Yayımlanma Tarihi

31 Ocak 2020

Gönderilme Tarihi

26 Ekim 2019

Kabul Tarihi

14 Ocak 2020

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Soykan, Y. (2020). ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. Journal of Scientific Perspectives, 4(1), 49-70. https://doi.org/10.26900/jsp.4.005