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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 Exponential integral ： ウィキペディア英語版 Exponential integral In mathematics, the exponential integral  Ei is a special function on the complex plane. It is defined as one particular definite integral of the ratio between an exponential function and its argument. ==Definitions== For real nonzero values of ''x'', the exponential integral Ei(''x'') is defined as : In general, a branch cut is taken on the negative real axis and E1 can be defined by analytic continuation elsewhere on the complex plane. For positive values of the real part of $z$, this can be written〔Abramowitz and Stegun, p. 228, 5.1.4 with ''n'' = 1〕 :$\backslash mathrm\_1(z)\; =\; \backslash int\_1^\backslash infty\; \backslash frac\backslash ,\; dt\; =\; \backslash int\_0^1\; \backslash frac\backslash ,\; du\; ,\backslash qquad\; \backslash Re(z)\; \backslash ge\; 0.$ The behaviour of E1 near the branch cut can be seen by the following relation:〔Abramowitz and Stegun, p. 228, 5.1.7〕 :$\backslash lim\_\backslash mathrm(-x\; \backslash pm\; i\backslash delta)\; =\; -\backslash mathrm(x)\; \backslash mp\; i\backslash pi,\backslash qquad\; x>0,$ 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「Exponential integral」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.