<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Lax-type pairs in the theory of bivariate orthogonal polynomials |
Publication Date: | 2023-11 |
Authors: |
- Amílcar Branquinho
- Ana Foulquié-Moreno - Teresa E. Pérez - Miguel A. Piñar |
Abstract: | Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, introducing a time-dependent parameter, we analyse a Lax-type pair system for the coefficients of the three term relations. We also deduce several characterizations relating the Lax-type pair, the shape of the weight, Stieltjes function, moments, a differential equation for the weight, and the bidimensional Toda-type systems. |
Institution: | arXiv:2311.05949 |
Online version: | https://arxiv.org/abs/2311.05949 |
Download: | Not available |