Some $k$-Fibonacci and $k$-Lucas Identities by a Matrix Approach with Applications: Piyanut Puangjumpa

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Some $k$-Fibonacci and $k$-Lucas Identities by a Matrix Approach with Applications

Piyanut Puangjumpa

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Keywords:

k-Fibonacci numbers, k-Lucas numbers, Diophantine equations, Binet’s formula

Abstract

In this research, we study and find some identities involving $k$-Fibonacci and $k$-Lucas numbers by using a matrix approach. As an application of these identities we then obtain the solutions of some Diophantine equations.

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Published

2022-03-31

How to Cite

Team, S. (2022). Some $k$-Fibonacci and $k$-Lucas Identities by a Matrix Approach with Applications: Piyanut Puangjumpa. Thai Journal of Mathematics, 20(1), 417–423. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1334