A representation of the solution of the \(n\)th order linear difference equation with variable coefficients
Linear difference equations of the \(n\)th order with variable coefficients are considered. It is shown that, for each problem, the determinants of submatrices of a single solution matrix produce the solution sequence. Some applications to sequences and series are given. Properties of Toeplitz matrices involving the roots of the associated polynomial equations are investigated.
scientific article; zbMATH DE number 539972