On the extreme points of some classes of holomorphic functions (Q1380768)
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scientific article; zbMATH DE number 1127601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the extreme points of some classes of holomorphic functions |
scientific article; zbMATH DE number 1127601 |
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On the extreme points of some classes of holomorphic functions (English)
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20 July 1998
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Summary: Let \(U\) be the unit disk, \(D\supset U\) an open connected set and \(z_0\in D\). Let also \(\mathbb{P}(z_0,c,D)\) be the class of holomorphic functions in \(D\) for which \(f(z_0)=c\) and \(\text{Re} f(z)>0\) in \(U\). We find the extreme points of the class \(\mathbb{P}(z_0,c,D)\).
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extreme points
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