Orthogonal Polynomials on Generalized Julia Sets
نویسندگان
چکیده
منابع مشابه
Fekete Polynomials and Shapes of Julia Sets
We prove that a nonempty, proper subset S of the complex plane can be approximated in a strong sense by polynomial filled Julia sets if and only if S is bounded and Ĉ \ int(S) is connected. The proof that such a set is approximable by filled Julia sets is constructive and relies on Fekete polynomials. Illustrative examples are presented. We also prove an estimate for the rate of approximation i...
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ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2017
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-017-0669-1