The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach

Heliyon

Fatih Yılmaz¹  Milica Anđelić²  Carlos M. da Fonseca³ 

[1] Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain;Department of Mathematics, Kuwait University, Safat 13060, Kuwait;Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait;

关键词: Horadam sequence;    Chebyshev polynomials of second kind;    Determinant;    Tridiagonal matrices;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.

【 授权许可】

Unknown