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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 Balanced polygamma function ： ウィキペディア英語版 Balanced polygamma function In mathematics, the generalized polygamma function or balanced negapolygamma function is a function introduced by Olivier Espinosa Aldunate and Victor H. Moll.〔(Olivier Espinosa Victor H. Moll. A Generalized polygamma function. Integral Transforms and Special Functions Vol. 15, No. 2, April 2004, pp. 101–115 )〕 It generalizes the polygamma function to negative and fractional order, but remains equal to it for integer positive orders. ==Definition== The generalized polygamma function is defined as follows: : $\backslash psi(z,q)=\backslash frac\; \backslash ,$ or alternatively, : $\backslash psi(z,q)=e^\backslash frac\backslash left(e^\backslash frac\backslash right),$ where $\backslash psi(z)$ is the Polygamma function and $\backslash zeta(z,q),$ is the Hurwitz zeta function. The function is balanced, in that it satisfies the conditions $f(0)=f(1)$ and $\backslash int\_0^1\; f(x)\; dx\; =\; 0$. 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「Balanced polygamma 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.