Strong asymptotics of orthogonal polynom
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P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou
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Article
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1999
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John Wiley and Sons
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English
β 344 KB
We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = β 2m k=0 q k x k , q 2m > 0, denotes a polynomial of even order with positive leading coefficient. The orthogonal polynomial problem is formulated as a Riemann-Hilbert problem