Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
simply connected domains |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy integral theorem
|
| gptkbp:implies |
gptkb:Cauchy_integral_formula
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:publishedIn |
gptkb:Cauchy's_1825_paper
|
| gptkbp:relatedTo |
gptkb:Morera's_theorem
gptkb:residue_theorem gptkb:Green's_theorem |
| gptkbp:state |
If a function is holomorphic on and inside a closed curve, the integral over the curve is zero.
|
| gptkbp:usedIn |
evaluation of complex integrals
proofs in complex analysis |
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|