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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Grunsky's theorem ： ウィキペディア英語版 Grunsky's theorem In mathematics, Grunsky's theorem, due to the German mathematician Helmut Grunsky, is a result in complex analysis concerning holomorphic univalent functions defined on the unit disk in the complex numbers. The theorem states that a univalent function defined on the unit disc, fixing the point 0, maps every disk ''|z|'' < ''r'' onto a starlike domain for ''r'' ≤ tanh π/4. The largest ''r'' for which this is true is called the radius of starlikeness of the function. ==Statement of theorem== Let ''f'' be a univalent holomorphic function on the unit disc ''D'' such that ''f''(0) = 0. Then for all ''r'' ≤ tanh π/4, the image of the disc ''|z|'' < ''r'' is starlike with respect to 0, , i.e. it is invariant under multiplication by real numbers in (0,1). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Grunsky's theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.