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Statements

Subject Item: dbr:List_of_eponyms_(A–K)
dbo:wikiPageWikiLink: dbr:Bloch's_theorem_(complex_variables)

Subject Item: dbr:List_of_mathematical_constants
dbo:wikiPageWikiLink: dbr:Bloch's_theorem_(complex_variables)

Subject Item: dbr:List_of_numbers
dbo:wikiPageWikiLink: dbr:Bloch's_theorem_(complex_variables)

Subject Item: dbr:Wiman-Valiron_theory
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Subject Item: dbr:Georges_Valiron
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Subject Item: dbr:André_Bloch_(mathematician)
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Subject Item: dbr:Titchmarsh_convolution_theorem
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Subject Item: dbr:Bloch
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Subject Item: dbr:Bloch's_principle
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Subject Item: dbr:Bloch's_theorem_(complex_variables)
rdf:type: yago:WikicatTheoremsInComplexAnalysis yago:Problem114410605 yago:WikicatTheorems yago:Abstraction100002137 yago:Difficulty114408086 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:WikicatMathematicalTheorems yago:WikicatUnsolvedProblemsInMathematics yago:Communication100033020 yago:State100024720 yago:Attribute100024264 yago:Theorem106752293 yago:Condition113920835
rdfs:label: Satz von Bloch Теорема Блоха (комплексний аналіз) Bloch's theorem (complex variables) Teorema di Bloch (analisi complessa) 블로흐 상수 Теорема Блоха (комплексный анализ)
rdfs:comment: Il teorema di Bloch è un teorema di teoria delle funzioni (cioè di analisi complessa). La sua dimostrazione fu data nel 1925 dal matematico francese André Bloch. Il teorema stabilisce un limite per la complessità della regione immagine di una funzione olomorfa. 다음은 블로흐 상수(Bloch Constant)에 대한 설명이다. 복소해석학에서, 어떤 함수 상(이미지)에서 이미지에 포함된 가장 큰 디스크의 반경 을 단위로 정의할때, 단위 디스크의 하위 집합(하위 영역)의 준 정체성 이미지에 가장 큰 디스크의 반경으로 를 정의한다. 는 감마 함수 은 란다우 상수 * In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower bound on the size of a disk in which an inverse to a holomorphic function exists. It is named after André Bloch. В комплексному аналізі теорема Блоха стверджує, що для кожної функції голоморфної в одиничному крузі, що задовольняє деякі додаткові вимоги в образі функції міститься круг деякого незалежного від функції радіуса, на якому існує обернена голоморфна функція. Теорема Блоха (комплексный анализ) — теорема о свойствах голоморфных функций. Теорема Блоха используется при доказательстве теоремы Ландау. Der Satz von Bloch ist eine Aussage der Funktionentheorie, die 1925 von dem französischen Mathematiker André Bloch bewiesen wurde. Der Satz gibt eine Grenze für die Komplexität des Bildgebiets holomorpher Funktionen an.
dct:subject: dbc:Theorems_in_complex_analysis dbc:Unsolved_problems_in_mathematics
dbo:wikiPageID: 11831990
dbo:wikiPageRevisionID: 1116233634
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dbp:title: Bloch Constant Landau Constant
dbp:urlname: BlochConstant LandauConstant
dbo:abstract: Теорема Блоха (комплексный анализ) — теорема о свойствах голоморфных функций. Теорема Блоха используется при доказательстве теоремы Ландау. 다음은 블로흐 상수(Bloch Constant)에 대한 설명이다. 복소해석학에서, 어떤 함수 상(이미지)에서 이미지에 포함된 가장 큰 디스크의 반경 을 단위로 정의할때, 단위 디스크의 하위 집합(하위 영역)의 준 정체성 이미지에 가장 큰 디스크의 반경으로 를 정의한다. 는 감마 함수 은 란다우 상수 * Der Satz von Bloch ist eine Aussage der Funktionentheorie, die 1925 von dem französischen Mathematiker André Bloch bewiesen wurde. Der Satz gibt eine Grenze für die Komplexität des Bildgebiets holomorpher Funktionen an. Il teorema di Bloch è un teorema di teoria delle funzioni (cioè di analisi complessa). La sua dimostrazione fu data nel 1925 dal matematico francese André Bloch. Il teorema stabilisce un limite per la complessità della regione immagine di una funzione olomorfa. В комплексному аналізі теорема Блоха стверджує, що для кожної функції голоморфної в одиничному крузі, що задовольняє деякі додаткові вимоги в образі функції міститься круг деякого незалежного від функції радіуса, на якому існує обернена голоморфна функція. In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower bound on the size of a disk in which an inverse to a holomorphic function exists. It is named after André Bloch.
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Subject Item: dbr:List_of_unsolved_problems_in_mathematics
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Subject Item: dbr:Picard_theorem
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Subject Item: dbr:Landau's_constant
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Subject Item: dbr:Landau_constant
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Subject Item: dbr:Bloch's_constant
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Subject Item: dbr:Bloch's_theorem_(complex_analysis)
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Subject Item: dbr:Bloch_constant
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