Some examples of orthogonal matrix polynomials satisfying odd order differential equations


It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a positive measure (with support in the real line), then its order has to be even. This property no longer holds in the case of orthogonal matrix polynomials. The aim of this paper is to… (More)
DOI: 10.1016/j.jat.2007.08.001