Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Great_Picard_theorem
gptkb:Little_Picard_theorem |
| gptkbp:appliesTo |
entire functions
meromorphic functions |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Picard's theorem
|
| gptkbp:namedAfter |
gptkb:Émile_Picard
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:Riemann_mapping_theorem
gptkb:Liouville's_theorem_(complex_analysis) gptkb:Casorati–Weierstrass_theorem |
| gptkbp:sentence |
An entire non-constant function attains all complex values, with at most one exception.
A holomorphic function with an essential singularity attains all complex values, with at most one exception, in any neighborhood of the singularity. |
| gptkbp:yearProposed |
1879
|
| gptkbp:bfsParent |
gptkb:Maurice_Picard
gptkb:Émile_Picard gptkb:Weierstrass–Casorati_theorem gptkb:Komplexe_Analysis |
| gptkbp:bfsLayer |
6
|