Strong Asymptotics for Orthogonal Polynomials in Weighted Bergman Spaces of the Unit Disk

Authors

Erwin Miña-Díaz, University of Mississippi

Document Type

Lecture

Publication Date

11-11-2010

Abstract

In this talk, we present a new series representation for polynomials orthogonal over the complex unit disk with respect to a weight of the form |ℎ(��)|ᵖ, where ℎ(��) is an analytic function in the closed unit disk |��| < 1 that does not vanish on the circle |��| = 1. This representation allows us to establish the strong asymptotic behavior of the polynomials at every point of the complex plane.

Relational Format

presentation

Recommended Citation

Miña-Díaz, Erwin, "Strong Asymptotics for Orthogonal Polynomials in Weighted Bergman Spaces of the Unit Disk" (2010). Analysis Seminar. 16.
https://egrove.olemiss.edu/math_analysis/16