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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 Gauss's digamma theorem ： ウィキペディア英語版 Digamma function In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function:〔〔 :$\backslash psi(x)\; =\backslash frac\; \backslash ln=\; \backslash frac.$ It is the first of the polygamma functions. ==Relation to harmonic numbers== The digamma function, often denoted also as or $\backslash digamma$ (after the shape of the archaic Greek letter Ϝ digamma), is related to the harmonic numbers in that :$\backslash psi(n)\; =\; H\_-\backslash gamma$ where is the -th harmonic number, and γ is the Euler-Mascheroni constant. For half-integer values, it may be expressed as :$\backslash psi\backslash left(n+\}\backslash right)\; =\; -\backslash gamma\; -\; 2\backslash ln\; 2\; +\; \backslash sum\_^n\; \backslash frac$ 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「Digamma function」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.