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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 Weakly holomorphic modular form ： ウィキペディア英語版 Weakly holomorphic modular form In mathematics, a weakly holomorphic modular form is similar to a holomorphic modular form, except that it is allowed to have poles at cusps. Examples include modular functions and modular forms. ==Definition== To simplify notation this section does the level 1 case; the extension to higher levels is straightforward. A level 1 weakly holomorphic modular form is a function ''f'' on the upper half plane with the properties: *''f'' transforms like a modular form: $f((a\backslash tau+b)/(c\backslash tau+d))\; =\; (c\backslash tau+d)^kf(\backslash tau)$ for some integer ''k'' called the weight, for any elements of SL2(Z). *As a function of ''q''=e2π''i''τ, ''f'' is given by a Laurent series (so it is allowed to have poles at cusps). 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「Weakly holomorphic modular form」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.