Some Pell and Pell-Lucas identities by matrix methods and their applications
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Published:
Jun 29, 2016
Keywords:
Pell numbers Pell-Lucas numbers Diophantine equations
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Abstract
In this paper, we establish some identities involving Pell and Pell-Lucas numbers by using matrix methods. Moreover, we present the solution of some Diophantine equations by applying these identities.
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How to Cite
1.
Srisawat S, Sriprad W. Some Pell and Pell-Lucas identities by matrix methods and their applications . Prog Appl Sci Tech. [Internet]. 2016 Jun. 29 [cited 2024 May 5];6(1):170-4. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243167
Section
Mathematics and Applied Statistics
References
J. Ercolano, Matrix Generators of Pell Sequences, Fibonacci Quart. 17(1) (1979): 71-77.
A. F. Horadam, Pell identities, The Fibonacci Quarterly. 9(3) (1971): 245-252.
T. Koshy, Pell and Pell-Lucas Numbers with Applications. Berlin: Springer; 2014.