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Uniform Asymptotics for Polynomials Orthogonal with Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles: Announcement of Results
International Mathematics Research Notices, no. 15 (2003): 821-858
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Abstract
We compute the pointwise asymptotics of polynomials orthogonal with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the measure and also the degree of the orthogonal polynomials become large. The class of orthogonal polynomials we consider includes as special cases the Krawtchouk a...More
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