Some identities for the generalized Fibonacci polynomials by the Q(x) matrix
Number Theory
2021-01-01 v1
Abstract
In this note, we obtain some identities for the generalized Fibonacci polynomial by using the Q(x) matrix. These identities including the Cassini identity and Honsberger formula can be applied to some polynomial sequences, such as Fibonacci polynomials, Lucas polynomials, Pell polynomials, Pell-Lucas polynomials, Fermat polynomials, Fermat-Lucas polynomials, and so on.
Cite
@article{arxiv.2012.15508,
title = {Some identities for the generalized Fibonacci polynomials by the Q(x) matrix},
author = {Chung-Chuan Chen and Lin-Ling Huang},
journal= {arXiv preprint arXiv:2012.15508},
year = {2021}
}