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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 Bohr–Mollerup theorem ： ウィキペディア英語版 Bohr–Mollerup theorem In mathematical analysis, the Bohr–Mollerup theorem is a theorem named after the Danish mathematicians Harald Bohr and Johannes Mollerup, who proved it. The theorem characterizes the gamma function, defined for by :$\backslash Gamma(x)=\backslash int\_0^\backslash infty\; t^\; e^\backslash ,dt$ as the ''only'' function on the interval that simultaneously has the three properties * , and * for and * is logarithmically convex. An elegant treatment of this theorem is in Artin's book ''The Gamma Function'', which has been reprinted by the AMS in a collection of Artin's writings. The theorem was first published in a textbook on complex analysis, as Bohr and Mollerup thought it had already been proved. ==Statement== :Bohr-Mollerup Theorem.     is the only function that satisfies with convex and also with . 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「Bohr–Mollerup theorem」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.