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- Schottky's_theorem abstract "In mathematical complex analysis, Schottky's theorem, introduced by Schottky (1904) is a quantitative version of Picard's theorem. and states that the size |f(z)| of a holomorphic function f in the open unit disk that does not take the values 0 or 1 can be bounded in terms of z and f(0).Schottky's original theorem did not give an explicit bound for f. Ostrowski (1931, 1933) gave some weak explicit bounds. Ahlfors (1938, theorem B) gave a strong explicit bound, showing that if f is holomorphic in the open unit disk and does not take the values 0 or 1 then .Several authors, such as Jenkins (1955), have given variations of Ahlfors's bound with better constants: in particular Hempel (1980) gave some bounds whose constants are in some sense the best possible.".
- Schottky's_theorem wikiPageExternalLink books?id=uzwgAAAAIAAJ.
- Schottky's_theorem wikiPageExternalLink s2-21.2.279.
- Schottky's_theorem wikiPageExternalLink 1990065.
- Schottky's_theorem wikiPageID "34544431".
- Schottky's_theorem wikiPageRevisionID "554989927".
- Schottky's_theorem hasPhotoCollection Schottky's_theorem.
- Schottky's_theorem subject Category:Theorems_in_complex_analysis.
- Schottky's_theorem type Abstraction100002137.
- Schottky's_theorem type Communication100033020.
- Schottky's_theorem type Message106598915.
- Schottky's_theorem type Proposition106750804.
- Schottky's_theorem type Statement106722453.
- Schottky's_theorem type Theorem106752293.
- Schottky's_theorem type TheoremsInComplexAnalysis.
- Schottky's_theorem comment "In mathematical complex analysis, Schottky's theorem, introduced by Schottky (1904) is a quantitative version of Picard's theorem. and states that the size |f(z)| of a holomorphic function f in the open unit disk that does not take the values 0 or 1 can be bounded in terms of z and f(0).Schottky's original theorem did not give an explicit bound for f. Ostrowski (1931, 1933) gave some weak explicit bounds.".
- Schottky's_theorem label "Schottky's theorem".
- Schottky's_theorem label "Неравенство Шоттки".
- Schottky's_theorem sameAs m.0j26xlw.
- Schottky's_theorem sameAs Q15214697.
- Schottky's_theorem sameAs Q15214697.
- Schottky's_theorem sameAs Schottky's_theorem.
- Schottky's_theorem wasDerivedFrom Schottky's_theorem?oldid=554989927.
- Schottky's_theorem isPrimaryTopicOf Schottky's_theorem.