Anđelić Milica, da Fonseca Carlos M, Yılmaz Fatih
Department of Mathematics, Kuwait University, Safat 13060, Kuwait.
Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait.
Heliyon. 2022 Feb 2;8(2):e08863. doi: 10.1016/j.heliyon.2022.e08863. eCollection 2022 Feb.
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.
在本笔记中,我们考虑所谓的双周期霍拉丹序列。建立了用第二类切比雪夫多项式以及一些扰动三对角2 - 托普利兹矩阵的行列式表示的显式公式。还给出了几个说明性的例子。