Weierstrass–Casorati theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo holomorphic functions
essential singularities
gptkbp:describes behavior of holomorphic functions near essential singularities
gptkbp:field complex analysis
https://www.w3.org/2000/01/rdf-schema#label Weierstrass–Casorati theorem
gptkbp:namedAfter gptkb:Karl_Weierstrass
gptkb:Felice_Casorati
gptkbp:publishedIn 19th century
gptkbp:relatedTo gptkb:Picard's_theorem
gptkbp:state If f has an essential singularity at z0, then in every neighborhood of z0, f(z) comes arbitrarily close to every complex value
gptkbp:bfsParent gptkb:Karl_Weierstrass
gptkbp:bfsLayer 5