Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616663 | Journal of Mathematical Analysis and Applications | 2013 | 15 Pages |
Abstract
We discuss SzegÅ-type strong asymptotics for polynomials orthogonal over a region bounded by an analytic curve, and find necessary conditions for such asymptotics to hold on an interior neighborhood of the curve. We also prove that this property is not destroyed when the measure is perturbed by multiplication by a rational function and the addition of point masses.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Erwin Miña-DÃaz, Brian Simanek,