Liouville's theorem (complex analysis)
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
entire functions
bounded functions |
| gptkbp:category |
gptkb:mathematical_concept
complex analysis theorem |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville's theorem (complex analysis)
|
| gptkbp:implies |
gptkb:the_fundamental_theorem_of_algebra
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:publishedIn |
1844
|
| gptkbp:state |
Every bounded entire function is constant.
|
| gptkbp:usedIn |
proof of the fundamental theorem of algebra
|
| gptkbp:bfsParent |
gptkb:Joseph_Liouville
|
| gptkbp:bfsLayer |
6
|