On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
Dec 02, 2020
About this article
Published Online: Dec 02, 2020
Page range: 280 - 286
Received: Nov 20, 2019
DOI: https://doi.org/10.2478/ausm-2020-0019
Keywords
© 2020 Carlos M. da Fonseca, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers. With basic transformations, we are able to recover some recent results on this matter, bringing them into one place.