Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane

We consider the orthogonal polynomials { Pn(z) } with respect to the measure | z−a |2Nce−N| z |2dA(z) over the whole complex plane. We obtain the strong asymptotic of the orthogonal polynomials in the complex plane and the location of their zeros in a scaling limit where n grows to infinity with N....

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Veröffentlicht in:	Communications on pure and applied mathematics 2015-01, Vol.68 (1), p.112-172
Hauptverfasser:	Balogh, Ferenc, Bertola, Marco, Lee, Seung-Yeop, Mclaughlin, Kenneth D. T-R
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Geometry Mathematical functions Mathematical problems Polynomials Probability Topology
Online-Zugang:	Volltext
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