Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
complex-valued functions
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Morera's theorem
|
| gptkbp:implies |
function is analytic
|
| gptkbp:namedAfter |
gptkb:Giovanni_Morera
|
| gptkbp:relatedTo |
gptkb:Cauchy-Goursat_theorem
|
| gptkbp:requires |
function is continuous
|
| gptkbp:state |
If a function is continuous on an open set and its integral over every closed curve is zero, then it is holomorphic.
|
| gptkbp:usedFor |
proving holomorphicity
|
| gptkbp:yearProposed |
1886
|
| gptkbp:bfsParent |
gptkb:Cauchy_integral_theorem
|
| gptkbp:bfsLayer |
6
|