Asymptotics of the Information Entropy for Jacobi and Laguerre Polynomials with Varying Weights

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