Differential properties of matrix orthogonal polynomials
经典分析与常微分方程
2007-05-23 v1
摘要
In this paper a general theory of semi-classical matrix orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation where and are matrix polynomials. Several characterizations for these semi-classical functionals are given in terms of the corresponding (left) matrix orthogonal polynomials sequence. They involve a quasi-orthogonality property for their derivatives, a structure relation and a second order differo-differential equation. Finally we illustrate the preceding results with some non-trivial examples.
引用
@article{arxiv.math/0205094,
title = {Differential properties of matrix orthogonal polynomials},
author = {M. J. Cantero and L. Moral and L. Velazquez},
journal= {arXiv preprint arXiv:math/0205094},
year = {2007}
}
备注
23 pages