A Note on the Recursive Sequence $x_{n + 1} = p_kx_n + p_{k − 1}x_{n − 1} +...+ p_1x_{n − k + 1}$
Abstract
We present some comments on the behavior of solutions of the difference equation $x_{n + 1} = p_kx_n + p_{k − 1}x_{n − 1} +...+ p_1x_{n − k + 1}$, $n = −1, 0, 1,…,$ where $p_i ≥ 0, i = 1,..., k, k ∈ N$, and $x_{−k},..., x_{−1} ∈ R$.
Published
25.04.2003
How to Cite
StevicS. “A Note on the Recursive Sequence $x_{n + 1} = p_kx_n + p_{k − 1}x_{n − 1} +...+ p_1x_{n − K + 1}$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 4, Apr. 2003, pp. 570-4, https://umj.imath.kiev.ua/index.php/umj/article/view/3932.
Issue
Section
Short communications