Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane

In chapter 1, we present some background knowledge about random matrices, Coulomb gas, orthogonal polynomials, asymptotics of planar orthogonal polynomials and the Riemann-Hilbert problem. In chapter 2, we consider the monic orthogonal polynomials, $\{P_{n,N}(z)\}_{n=0,1,\cdots},$...

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Bibliographic Details
Main Author: Yang, Meng
Format: Others
Published: Scholar Commons 2018
Subjects:
Online Access:https://scholarcommons.usf.edu/etd/7386
https://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=8583&context=etd