A class of matrix-valued polynomials generalizing Jacobi Polynomials
Classical Analysis and ODEs
2008-04-24 v1
Abstract
A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations.
Cite
@article{arxiv.0804.3739,
title = {A class of matrix-valued polynomials generalizing Jacobi Polynomials},
author = {Rodica D. Costin},
journal= {arXiv preprint arXiv:0804.3739},
year = {2008}
}
Comments
8 pages