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

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 mat...

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Bibliographic Details
Main Author: da Fonseca Carlos M.
Format: Article
Language:English
Published: Sciendo 2020-11-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2020-0019