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arXiv · 1608.04513

Asymptotics of orthogonal polynomials and the Painlev\'e transcendents

Dan Dai
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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.

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Dan Dai. 2016-08-16. Asymptotics of orthogonal polynomials and the Painlev\'e transcendents. https://arxiv.org/abs/1608.04513

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