On the extreme points of some classes of holomorphic functions

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).

Bibliographic Details
Main Author: Nicolas Samaris
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297001129