Cauchy's integral theorem | Cauchy's theorem (English)
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Definition Niveau 4
Cauchy's theorem for triangles: let D be a domain and f : D → C be holomorphic. Then if T is a triangle lying entirely in D ,
where ∂T is the boundary of T . Compare Morera's theorem.
Cauchy's theorem for a star domain: let D be a star domain and f : D → C be holomorphic. Then
for all closed paths ϕ in D .
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Cauchy's theorem for a star domain: let D be a star domain and f : D → C be holomorphic. Then
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Beziehungen:
- weiterer Begriff:
- (en) Theorem
- bezieht sich auf:
- (en) Domain
- (en) Holomorphic
- ist bezogen auf:
- (en) Cauchy
- siehe auch:
- (en) Morera's theorem
Finanziert durch: EU Socrates Minerva, HeyMath!, Cambridge University Press