Asymptotics of orthogonal polynomials and the Painlev\'e transcendents
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orthogonalpainlevpolynomialsproblemstranscendentsapplyingarticleasymptotic
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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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