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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 Cunningham function ： ウィキペディア英語版 Cunningham function In statistics, the Cunningham function or Pearson–Cunningham function ω''m'',''n''(''x'') is a generalisation of a special function introduced by and studied in the form here by . It can be defined in terms of the confluent hypergeometric function ''U'', by :$\backslash displaystyle\; \backslash omega\_(x)\; =\; \backslash fracU(m/2-n,1+m,x).$ The function was studied by Cunningham in the context of a multivariate generalisation of the Edgeworth expansion for approximating a probability density function based on its (joint) moments. In a more general context, the function is related to the solution of the constant-coefficient diffusion equation, in one or more dimensions.〔 The function ω''m'',''n''(''x'') is a solution of the differential equation for ''X'':〔 :$xX\text{'}\text{'}+(x+1+m)X\text{'}+(n+\backslash tfracm+1)X.$ The special function studied by Pearson is given, in his notation by,〔 :$\backslash omega\_(x)\; =\backslash omega\_(x).$ ==Notes== 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「Cunningham 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.