Bieberbach conjecture theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:de_Branges_theorem
|
| gptkbp:category |
theorems in complex analysis
conjectures that have been proved |
| gptkbp:concerns |
analytic functions
univalent functions |
| gptkbp:field |
gptkb:geometric_function_theory
complex analysis |
| gptkbp:formedBy |
gptkb:Ludwig_Bieberbach
1916 |
| https://www.w3.org/2000/01/rdf-schema#label |
Bieberbach conjecture theorem
|
| gptkbp:influenced |
gptkb:geometric_function_theory
|
| gptkbp:provenBy |
gptkb:Louis_de_Branges
|
| gptkbp:relatedTo |
gptkb:Koebe_function
univalent function |
| gptkbp:state |
For any univalent function f(z) = z + a_2 z^2 + a_3 z^3 + ... on the unit disk, |a_n| ≤ n for all n ≥ 2.
|
| gptkbp:yearProved |
1984
|
| gptkbp:bfsParent |
gptkb:de_Branges_theorem
|
| gptkbp:bfsLayer |
7
|