<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers

Acta Universitatis Sapientiae, Mathematica

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...

On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers

Publié en ligne: 02 déc. 2020

Pages: 280 - 286

Reçu: 20 nov. 2019

DOI: https://doi.org/10.2478/ausm-2020-0019

Mots clés
tridiagonal matrices, Chebyshev polynomials of second kind, determinant, Fibonacci numbers

© 2020 Carlos M. da Fonseca, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers

Publié en ligne: 02 déc. 2020

Pages: 280 - 286

Reçu: 20 nov. 2019

DOI: https://doi.org/10.2478/ausm-2020-0019

Mots cléstridiagonal matrices, Chebyshev polynomials of second kind, determinant, Fibonacci numbers

© 2020 Carlos M. da Fonseca, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
tridiagonal matrices, Chebyshev polynomials of second kind, determinant, Fibonacci numbers