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

Autor: da Fonseca Carlos M.
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 2, Pp 280-286 (2020)
Druh dokumentu: article
ISSN: 2066-7752
DOI: 10.2478/ausm-2020-0019
Popis: 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.
Databáze: Directory of Open Access Journals