Asymptotics of orthogonal polynomials and the Painlev\'e transcendents
Classical Analysis and ODEs
2016-09-15 v2
Abstract
In this survey, we review asymptotic results of some orthogonal polynomials which are relate to the Painlev\'e transcendents. They are obtained by applying Deift-Zhou's nonlinear steepest descent method for Riemann-Hilbert problems. In the last part of this article, we list several open problems.
Keywords
Cite
@article{arxiv.1608.04513,
title = {Asymptotics of orthogonal polynomials and the Painlev\'e transcendents},
author = {Dan Dai},
journal= {arXiv preprint arXiv:1608.04513},
year = {2016}
}
Comments
23 pages, 2 figures