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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 Antiderivative (complex analysis) ： ウィキペディア英語版 Antiderivative (complex analysis) In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex-valued function ''g'' is a function whose complex derivative is ''g''. More precisely, given an open set $U$ in the complex plane and a function $g:U\backslash to\; \backslash mathbb\; C,$ the antiderivative of $g$ is a function $f:U\backslash to\; \backslash mathbb\; C$ that satisfies $\backslash frac=g$. As such, this concept is the complex-variable version of the antiderivative of a real-valued function. ==Uniqueness== The derivative of a constant function is zero. Therefore, any constant is an antiderivative of the zero function. If $U$ is a connected set, then the constants are the only antiderivatives of the zero function. Otherwise, a function is an antiderivative of the zero function if and only if it is constant on each connected component of $U$ (those constants need not be equal). This observation implies that if a function $g:U\backslash to\; \backslash mathbb\; C$ has an antiderivative, then that antiderivative is unique up to addition of a function which is constant on each connected component of $U$. 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「Antiderivative (complex analysis)」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.