A concise expression for the ODE's of orthogonal polynomials
Mathematical Physics
2007-05-23 v1 math.MP
Spectral Theory
Abstract
It is known that orthogonal polynomials obey a 3 terms recursion relation, as well as a 2x2 differential system. Here, we give an explicit and concise expression of the differential system in terms of the recursion coefficients. This result is a generalization of an expression of Fokas, Its and Kitaev for the symmetric case.
Cite
@article{arxiv.math-ph/0109018,
title = {A concise expression for the ODE's of orthogonal polynomials},
author = {Bertrand Eynard},
journal= {arXiv preprint arXiv:math-ph/0109018},
year = {2007}
}