Uniform Asymptotics for Orthogonal Polynomials

@inproceedings{Deift1998UniformAF,
  title={Uniform Asymptotics for Orthogonal Polynomials},
  author={Percy Deift and Thomas Kriecherbauer},
  year={1998}
}
We consider asymptotics of orthogonal polynomials with respect to a weight e ?Q(x) dx on R, where either Q(x) is a polynomial of even order with positive leading coeecient, or Q(x) = NV (x), where V (x) is real analytic on R and grows suuciently rapidly as jxj ! 1. We formulate the orthogonal polynomial problem as a Riemann-Hilbert problem following the work of Fokas, Its and Kitaev. We employ the steepest descent-type method for Riemann-Hilbert problems introduced by Deift and Zhou, and… CONTINUE READING
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