Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
simply connected domains |
| gptkbp:category |
theorems in complex analysis
|
| gptkbp:field |
complex analysis
|
| gptkbp:generalizes |
gptkb:Cauchy's_integral_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy–Goursat theorem
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Édouard_Goursat |
| gptkbp:publishedIn |
gptkb:Cauchy's_works_(1825)
|
| gptkbp:state |
If a function is holomorphic inside and on a simple closed contour, then the integral of the function over the contour is zero.
|
| gptkbp:usedIn |
gptkb:residue_theorem
proof of Cauchy's integral formula |
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|