Statements (13)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
holomorphic functions
simply connected domains |
gptkbp:field |
complex analysis
|
gptkbp:generalizes |
gptkb:Cauchy's_integral_formula
|
https://www.w3.org/2000/01/rdf-schema#label |
Cauchy-Goursat theorem
|
gptkbp:implies |
gptkb:Cauchy's_integral_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:bfsParent |
gptkb:Morera's_theorem
|
gptkbp:bfsLayer |
7
|