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The BorelCaratheodory Generalization
Extension of Korevaars Theorem
The Mapping domains and Mapping Functions
5 other sections not shown
1-1 and continuous 1-1 conformal map APPROXIMATION BY POLYNOMIALS AQ(J bounded set clos C f closed arc compact subset component of clos connected component constant C dependent contain a half-plane continuous extension continuous function Corollary 5.1 Dc-polynomials defines a 1-1 denotes the partial DOCTOR OF PHILOSOPHY entire function entire of order exterior boundary F is dense family F family of points Figures l.d following lemmas Fourier series free Jordan arc Ganelius Theorem harmonic measure Hence Jordan curve Korevaar 9 Lemma Let D+ Let F limit function max I loo Obrechkoff 14 obtains polynomial approximation set polynomials whose zeros proper arc prove Ref(z Replacement and Density sequence of integers sequence of points sequence of R's simply connected domain subarc subsequence sufficiently large Suppose f tangential direction Theorem 5.1 thesis unbounded component uniform convergence University of Wisconsin zero-free holomorphic function