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Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight

✍ Scribed by D. Dai; A. B. J. Kuijlaars

Book ID
111015023
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
900 KB
Volume
122
Category
Article
ISSN
0022-2526

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Uniform asymptotics for polynomials orth
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
✍ P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n → ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the