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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 Fox H-function ： ウィキペディア英語版 Fox H-function In mathematics, the Fox H-function ''H''(''x'') is a generalization of the Meijer G-function introduced by . It is defined by a Mellin–Barnes integral :$$ H_^ \!\left(z \left| \begin ( a_1 , A_1 ) & ( a_2 , A_2 ) & \ldots & ( a_p , A_p ) \\ ( b_1 , B_1 ) & ( b_2 , B_2 ) & \ldots & ( b_q , B_q ) \end \right. \right ) = \frac\int_L \frac ^n\Gamma(1-a_j-A_js))} ^p\Gamma(a_j+A_js))} z^ \, ds where ''L'' is a certain contour separating the poles of the two factors in the numerator. Another generalization of Fox H-function is given by Innayat Hussain . For a further generalization of this function, useful in Physics and Statistics, see . The special case for which the Fox H-function reduces to the Meijer G-function is ''A''''j'' = ''B''''k'' = ''C'', ''C'' > 0 for ''j'' = 1...''p'' and ''k'' = 1...''q'' : :$$ H_^ \!\left(z \left| \begin ( a_1 , C ) & ( a_2 , C ) & \ldots & ( a_p , C ) \\ ( b_1 , C ) & ( b_2 , C ) & \ldots & ( b_q , C ) \end \right. \right ) = \frac G_^ \!\left( \left. \begin a_1, \dots, a_p \\ b_1, \dots, b_q \end \; \right| \, z^ \right). ==References== * * * * * * *. * * 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「Fox H-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.