Strong asymptotics for Bergman polynomials over domains with corners

2009/10/09 by Stylianopoulos, Nikos
#30C10 #30C30 #30C50 #30C62 #41A10 #Complex Variables (math.CV) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0910.1788

Abstract

The aim of the paper is to establish the strong asymptotics for the Bergman orthogonal polynomials defined over non-smooth domains in the complex plane. This complements an investigation started in 1923 by T. Carleman, who derived the strong asymptotics for domains with analytic boundaries and carried over by P.K. Suetin in the 1960's, who established them for domains with smooth boundaries.

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