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

DOI10.2478/ausm-2020-0019zbMath1498.15035OpenAlexW3113383277MaRDI QIDQ2235071

Carlos Martins de Fonseca

Publication date: 19 October 2021

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2020-0019

zbMATH Keywords

determinantFibonacci numberstridiagonal matricesChebyshev polynomials of second kind

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

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