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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 Landau's constants ： ウィキペディア英語版 Landau's constants In complex analysis, a branch of mathematics, Landau's constants are certain mathematical constants that describe the behaviour of holomorphic functions defined on the unit disk. Consider the set ''F'' of all those holomorphic functions ''f'' on the unit disk for which :$f\text{'}(0)\; =\; 1.\backslash ,$ We define ''L''''f'' to be the radius of the largest disk contained in the image of ''f'', and ''B''''f'' to be the radius of the largest disk that is the biholomorphic image of a subset of a unit disk. Landau's constants are then defined as the infimum of ''L''''f'' or ''B''''f'', where ''f'' is any holomorphic function or any injective holomorphic function on the unit disk with :$f\text{'}(0)\; =\; 1.\backslash ,$ The three resulting constants are abbreviated ''L'', ''B'', and ''A'' (for injective functions), respectively. The exact values of ''L'', ''B'', and ''A'' are not known, but it is known that : : : == See also == * Table of selected mathematical constants 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「Landau's constants」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.