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
Department of Mathematics, University of Patras, Patras 26110, Greece
Received 1 February 1994; Revised 30 June 1994
Copyright © 1997 Nicolas Samaris. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).