Julia Sets of Orthogonal Polynomials
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For a probability measure with compact and non-polar support in the complex plane we relate dynamical properties of the associated sequence of orthogonal polynomials {P n } to properties of the support. More precisely we relate the Julia set of P n to the outer boundary of the support, the filled Julia set to the polynomial convex hull K of the support, and the Green’s function associated with P n to the Green’s function for the complement of K.
Originalsprog | Engelsk |
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Tidsskrift | Potential Analysis |
Vol/bind | 50 |
Udgave nummer | 3 |
Sider (fra-til) | 401-413 |
Antal sider | 13 |
ISSN | 0926-2601 |
DOI | |
Status | Udgivet - 2019 |
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ID: 222973297