Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
theorems in complex analysis
|
| gptkbp:concerns |
univalent functions
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Koebe one-quarter theorem
|
| gptkbp:namedAfter |
gptkb:Paul_Koebe
|
| gptkbp:publishedIn |
1907
|
| gptkbp:relatedTo |
gptkb:Koebe_function
gptkb:Riemann_mapping_theorem |
| gptkbp:sentence |
If f is a univalent holomorphic function on the unit disk with f(0)=0 and f'(0)=1, then the image of the unit disk under f contains the disk of radius 1/4 centered at the origin.
|
| gptkbp:bfsParent |
gptkb:Schlicht_functions
|
| gptkbp:bfsLayer |
8
|