Casorati–Weierstrass theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
|
| gptkbp:category |
theorems in complex analysis
|
| gptkbp:describes |
behavior of holomorphic functions near essential singularities
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Casorati–Weierstrass 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:Picard's_theorem
|
| gptkbp:bfsLayer |
7
|