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- Morera's_theorem abstract "In complex analysis, a branch of mathematics, Morera's theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic.Morera's theorem states that a continuous, complex-valued function ƒ defined on a connected open set D in the complex plane that satisfiesfor every closed piecewise C1 curve in D must be holomorphic on D.The assumption of Morera's theorem is equivalent to that ƒ has an antiderivative on D.The converse of the theorem is not true in general. A holomorphic function need not possess an antiderivative on its domain, unless one imposes additional assumptions. The converse does hold e.g. if the domain is simply connected; this is Cauchy's integral theorem, stating that the line integral of a holomorphic function along a closed curve is zero.".
- Morera's_theorem thumbnail Morera's_Theorem.png?width=300.
- Morera's_theorem wikiPageExternalLink m064920.htm.
- Morera's_theorem wikiPageExternalLink LiouvilleMoreraGaussMod.html.
- Morera's_theorem wikiPageExternalLink 2up.
- Morera's_theorem wikiPageExternalLink pubblicazioni.html.
- Morera's_theorem wikiPageID "407047".
- Morera's_theorem wikiPageRevisionID "600403647".
- Morera's_theorem hasPhotoCollection Morera's_theorem.
- Morera's_theorem id "p/m064920".
- Morera's_theorem title "Morera theorem".
- Morera's_theorem title "Morera’s Theorem".
- Morera's_theorem urlname "MorerasTheorem".
- Morera's_theorem subject Category:Theorems_in_complex_analysis.
- Morera's_theorem type Abstraction100002137.
- Morera's_theorem type Communication100033020.
- Morera's_theorem type Message106598915.
- Morera's_theorem type Proposition106750804.
- Morera's_theorem type Statement106722453.
- Morera's_theorem type Theorem106752293.
- Morera's_theorem type TheoremsInComplexAnalysis.
- Morera's_theorem comment "In complex analysis, a branch of mathematics, Morera's theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic.Morera's theorem states that a continuous, complex-valued function ƒ defined on a connected open set D in the complex plane that satisfiesfor every closed piecewise C1 curve in D must be holomorphic on D.The assumption of Morera's theorem is equivalent to that ƒ has an antiderivative on D.The converse of the theorem is not true in general. ".
- Morera's_theorem label "Morera's theorem".
- Morera's_theorem label "Satz von Morera".
- Morera's_theorem label "Teorema de Morera".
- Morera's_theorem label "Teorema di Morera".
- Morera's_theorem label "Théorème de Morera".
- Morera's_theorem label "Twierdzenie Morery".
- Morera's_theorem label "Теорема Мореры".
- Morera's_theorem label "莫雷拉定理".
- Morera's_theorem sameAs Morerova_věta.
- Morera's_theorem sameAs Satz_von_Morera.
- Morera's_theorem sameAs Théorème_de_Morera.
- Morera's_theorem sameAs Teorema_di_Morera.
- Morera's_theorem sameAs 모레라의_정리.
- Morera's_theorem sameAs Twierdzenie_Morery.
- Morera's_theorem sameAs Teorema_de_Morera.
- Morera's_theorem sameAs m.024kkj.
- Morera's_theorem sameAs Q1140119.
- Morera's_theorem sameAs Q1140119.
- Morera's_theorem sameAs Morera's_theorem.
- Morera's_theorem wasDerivedFrom Morera's_theorem?oldid=600403647.
- Morera's_theorem depiction Morera's_Theorem.png.
- Morera's_theorem isPrimaryTopicOf Morera's_theorem.
