KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

On Generalized Fibonacci And Lucas Numbers By Matrix Methods

Gamaliel CERDA-MORALES
Sayfa
173–179
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗

Özet

-

Abstract

In this study we define the generalized Lucas V (p, q)-matrix similar tothe generalized Fibonacci U (1, −1)-matrix. The V (p, q)-matrix is different from the Fibonacci U (p, q)-matrix, but is related to it. Using thismatrix representation, we have found some well-known equalities anda Binet-like formula for the generalized Fibonacci and Lucas numbers.

🔖

Bu Makaleye Atıf Yap

CERDA-MORALES, G. (2022). On Generalized Fibonacci And Lucas Numbers By Matrix Methods. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 173–179. https://ajindex.com/articles/530415

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (4)

  1. Gould, H.W.,A history of the Fibonacci Q-matrix and a higher-dimensional problem, Fibonacci Quart. 19, 7-250, 1981.
  2. Horadam, A. F., Jacobsthal representation numbers, Fibonacci Quarterly, 34, 40-54, 1996.
  3. Kalman, D. and Mena, R., The Fibonacci numbers - exposed, Math. Mag., 76, 81-167, 2003.
  4. Koshy, T.,Fibonacci and Lucas Numbers with Applications, Wiley - Interscience, New York, 200 Silvester, J.R.,Fibonacci properties by matrix methods, Mathematical Gazette 63, 188-191, 197