Matrix biorthogonal polynomials, associated polynomials and functions of the second kind
Classical Analysis and ODEs
2017-08-08 v1
Abstract
In this work the interplay between matrix biorthogonal polynomials with respect to a matrix of linear functionals, the -th associated matrix polynomials and the second kind matrix functions, is studied in terms of quasideterminants. A sort of Poincar\'{e}'s theorem for the ratio of two consecutive matrix functions solutions of a linear difference equation is also presented. Some new formulas connecting these families of matrix functions are given.
Cite
@article{arxiv.1708.01637,
title = {Matrix biorthogonal polynomials, associated polynomials and functions of the second kind},
author = {Amilcar Branquinho and Juan Carlos García-Ardila and Francisco Marcellán},
journal= {arXiv preprint arXiv:1708.01637},
year = {2017}
}