Weierstrass–Casorati theorem
GPTKB entity
Statements (13)
Predicate | Object |
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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
|