Matrix biorthogonal polynomials, associated polynomials and functions of the second kind (Preprint)

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Type: Preprint
National /International: International
Title: Matrix biorthogonal polynomials, associated polynomials and functions of the second kind
Publication Date: 2017-08-04
Authors: - Amílcar Branquinho
- Juan Carlos García Ardila
- Francisco Marcellán
Abstract: In this work the interplay between matrix biorthogonal polynomials with respect to a matrix of linear functionals, the k-th associated matrix polynomials and the second kind matrix functions, is studied in terms of quasideterminants. A sort of Poincaré'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.
Institution: DMUC 17-39
Online version: http://www.mat.uc.pt...prints/eng_2017.html
Download: Not available
 
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