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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 Schwarzian derivative ： ウィキペディア英語版 Schwarzian derivative In mathematics, the Schwarzian derivative, named after the German mathematician Hermann Schwarz, is a certain operator that is invariant under all linear fractional transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and hypergeometric functions. It plays an important role in the theory of univalent functions, conformal mapping and Teichmüller spaces. ==Definition== The Schwarzian derivative of a holomorphic function of one complex variable is defined by :$$ (Sf)(z) = \left( \frac\right)' - \frac\left(\right)^2 = \frac-\frac\left(\right)^2. The same formula also defines the Schwarzian derivative of a ''C3'' function of one real variable. The alternative notation :$\backslash \; =\; (Sf)(z)$ is frequently used. 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「Schwarzian derivative」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.