Koebe function

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:Schlicht_function
univalent function
gptkbp:attainsExtremalValueFor gptkb:Bieberbach_conjecture
gptkbp:definedIn gptkb:unit_disk
gptkbp:field complex analysis
gptkbp:form f(z) = z/(1-z)^2
gptkbp:hasTaylorSeries z + 2z^2 + 3z^3 + ...
https://www.w3.org/2000/01/rdf-schema#label Koebe function
gptkbp:isExtremalFor covering theorem
distortion theorem
growth theorem
gptkbp:isNormalizedBy f(0)=0, f'(0)=1
gptkbp:mapType unit disk onto complex plane minus negative real axis from -1/4 to -infinity
gptkbp:namedAfter gptkb:Paul_Koebe
gptkbp:photo complex plane minus slit along negative real axis from -1/4 to -infinity
gptkbp:bfsParent gptkb:Paul_Koebe
gptkbp:bfsLayer 5