Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Meromorphic functions
|
| gptkbp:category |
gptkb:Mathematical_analysis
Theorems in complex analysis |
| gptkbp:component |
gptkb:Complex_plane
gptkb:Contour_integration Residue |
| gptkbp:field |
Complex analysis
|
| gptkbp:firstPublished |
1825
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy's residue theorem
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
gptkb:Cauchy's_integral_theorem
gptkb:Laurent_series |
| gptkbp:state |
The integral of a meromorphic function around a closed curve is 2πi times the sum of the residues inside the curve
|
| gptkbp:usedFor |
Calculating real integrals via contour integration
Evaluating complex integrals |
| gptkbp:bfsParent |
gptkb:Cauchy's_theorem
|
| gptkbp:bfsLayer |
7
|