Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607947 | Journal of Approximation Theory | 2009 | 19 Pages |
Abstract
Let Ω⊂CΩ⊂C be a bounded domain such that 0∈Ω0∈Ω. Denote by Pn,n∈N≔{1,2,…}, the set of all complex polynomials of degree at most nn. Let Pn(Ω)≔{p∈Pn:p(0)=0,p(D)⊂Ω}, where D≔{z:|z|<1}. We relate the maximal polynomial rangeΩn≔⋃p∈Pn(Ω)p(D) to the geometry of ΩΩ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladimir Andrievskii, Stephan Ruscheweyh,