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- Koebe_quarter_theorem abstract "In complex analysis, a branch of mathematics, the Koebe 1/4 theorem states the following:Koebe Quarter Theorem. The image of an injective analytic function f : D → C from the unit disk D onto a subset of the complex plane contains the disk whose center is f(0) and whose radius is |f′(0)|/4.The theorem is named after Paul Koebe, who conjectured the result in 1907. The theorem was proven by Ludwig Bieberbach in 1916. The example of the Koebe function shows that the constant 1/4 in the theorem cannot be improved.A related result is the Schwarz lemma, and a notion related to both is conformal radius.".
- Koebe_quarter_theorem wikiPageExternalLink KobeOneFourthTheorem.html.
- Koebe_quarter_theorem wikiPageID "16758771".
- Koebe_quarter_theorem wikiPageLength "6110".
- Koebe_quarter_theorem wikiPageOutDegree "20".
- Koebe_quarter_theorem wikiPageRevisionID "666881287".
- Koebe_quarter_theorem wikiPageWikiLink Absolute_value.
- Koebe_quarter_theorem wikiPageWikiLink Bieberbach_conjecture.
- Koebe_quarter_theorem wikiPageWikiLink Category:Theorems_in_complex_analysis.
- Koebe_quarter_theorem wikiPageWikiLink Complex_analysis.
- Koebe_quarter_theorem wikiPageWikiLink Complex_plane.
- Koebe_quarter_theorem wikiPageWikiLink Conformal_radius.
- Koebe_quarter_theorem wikiPageWikiLink De_Brangess_theorem.
- Koebe_quarter_theorem wikiPageWikiLink Injective_function.
- Koebe_quarter_theorem wikiPageWikiLink Lebesgue_measure.
- Koebe_quarter_theorem wikiPageWikiLink Louis_de_Branges.
- Koebe_quarter_theorem wikiPageWikiLink Louis_de_Branges_de_Bourcia.
- Koebe_quarter_theorem wikiPageWikiLink Ludwig_Bieberbach.
- Koebe_quarter_theorem wikiPageWikiLink Mathematics.
- Koebe_quarter_theorem wikiPageWikiLink Paul_Koebe.
- Koebe_quarter_theorem wikiPageWikiLink Schlicht_function.
- Koebe_quarter_theorem wikiPageWikiLink Schwarz_lemma.
- Koebe_quarter_theorem wikiPageWikiLink Springer-Verlag.
- Koebe_quarter_theorem wikiPageWikiLink Springer_Science+Business_Media.
- Koebe_quarter_theorem wikiPageWikiLink Subset.
- Koebe_quarter_theorem wikiPageWikiLink Thomas_Hakon_Grönwall.
- Koebe_quarter_theorem wikiPageWikiLink Unit_disk.
- Koebe_quarter_theorem wikiPageWikiLink Univalent_function.
- Koebe_quarter_theorem wikiPageWikiLinkText "Koebe quarter theorem".
- Koebe_quarter_theorem wikiPageWikiLinkText "Koebe quarter theorem#Bieberbach's coefficient inequality for univalent functions".
- Koebe_quarter_theorem wikiPageWikiLinkText "Koebe quarter theorem#Grönwall's area theorem".
- Koebe_quarter_theorem wikiPageWikiLinkText "Koebe quarter theorem#Koebe distortion theorem".
- Koebe_quarter_theorem wikiPageWikiLinkText "Koebe quarter theorem#Koebe function".
- Koebe_quarter_theorem wikiPageWikiLinkText "the Koebe 1/4-theorem".
- Koebe_quarter_theorem hasPhotoCollection Koebe_quarter_theorem.
- Koebe_quarter_theorem wikiPageUsesTemplate Template:Citation.
- Koebe_quarter_theorem wikiPageUsesTemplate Template:Cite_book.
- Koebe_quarter_theorem wikiPageUsesTemplate Template:Reflist.
- Koebe_quarter_theorem subject Category:Theorems_in_complex_analysis.
- Koebe_quarter_theorem type Article.
- Koebe_quarter_theorem type Article.
- Koebe_quarter_theorem type Theorem.
- Koebe_quarter_theorem comment "In complex analysis, a branch of mathematics, the Koebe 1/4 theorem states the following:Koebe Quarter Theorem. The image of an injective analytic function f : D → C from the unit disk D onto a subset of the complex plane contains the disk whose center is f(0) and whose radius is |f′(0)|/4.The theorem is named after Paul Koebe, who conjectured the result in 1907. The theorem was proven by Ludwig Bieberbach in 1916.".
- Koebe_quarter_theorem label "Koebe quarter theorem".
- Koebe_quarter_theorem sameAs משפט_הרבע_של_קוב.
- Koebe_quarter_theorem sameAs Twierdzenie_Koebego-Bieberbacha.
- Koebe_quarter_theorem sameAs m.04053gb.
- Koebe_quarter_theorem sameAs Q588218.
- Koebe_quarter_theorem sameAs Q588218.
- Koebe_quarter_theorem wasDerivedFrom Koebe_quarter_theorem?oldid=666881287.
- Koebe_quarter_theorem isPrimaryTopicOf Koebe_quarter_theorem.