Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
gptkb:de_Branges_theorem
|
gptkbp:concerns |
analytic functions
univalent functions |
gptkbp:countryOfOrigin |
gptkb:Germany
|
gptkbp:field |
gptkb:geometric_function_theory
complex analysis |
https://www.w3.org/2000/01/rdf-schema#label |
Bieberbach conjecture
|
gptkbp:proposedBy |
gptkb:Ludwig_Bieberbach
|
gptkbp:provenBy |
gptkb:Louis_de_Branges
|
gptkbp:relatedTo |
gptkb:Koebe_function
univalent function coefficient problem |
gptkbp:sentence |
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:yearProposed |
1916
|
gptkbp:yearProved |
1984
|
gptkbp:bfsParent |
gptkb:Ludwig_Bieberbach
|
gptkbp:bfsLayer |
5
|