The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
Milica Anđelić,
Carlos M. da Fonseca,
Fatih Yılmaz
Affiliations
Milica Anđelić
Department of Mathematics, Kuwait University, Safat 13060, Kuwait
Carlos M. da Fonseca
Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain
Fatih Yılmaz
Department of Mathematics, Ankara Hacı Bayram Veli University, Turkey; Corresponding author.
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.
