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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 823-824
doi:10.1155/S0161171297001129

On the extreme points of some classes of holomorphic functions

Nicolas Samaris

Department of Mathematics, University of Patras, Patras 26110, Greece

Abstract

Let U be the unit disk, D⊃U an open connected set and z0∈D. Let also P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U. We find the extreme points of the class P(z0,c,D).