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Uniform asymptotics for orthogonal polynomials

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Publication:1126845
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zbMath0906.42011MaRDI QIDQ1126845

Percy A. Deift, Thomas Kriecherbauer, Stephanos Venakides, Kenneth T.-R. McLaughlin, Xin Zhou

Publication date: 5 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232645

zbMATH Keywords

universalityrandom matrix theoryRiemann-Hilbert problemssteepest descent methodasymptotics of orthogonal polynomials


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Boundary value problems in the complex plane (30E25) Asymptotic representations in the complex plane (30E15)


Related Items

Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters, Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation



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