On Generalized Fibonacci And Lucas Numbers By Matrix Methods
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On Generalized Fibonacci And Lucas Numbers By Matrix Methods
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.
Keywords:
Matrix methods, generalized Lucas numbers Binet’s formula.,
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- Gould, H.W.,A history of the Fibonacci Q-matrix and a higher-dimensional problem, Fibonacci Quart. 19, 7-250, 1981.
- Horadam, A. F., Jacobsthal representation numbers, Fibonacci Quarterly, 34, 40-54, 1996. Kalman, D. and Mena, R., The Fibonacci numbers - exposed, Math. Mag., 76, 81-167, 2003. 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
- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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