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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 Series multisection ： ウィキペディア英語版 Series multisection In mathematics, a multisection of a power series is a new power series composed of equally spaced terms extracted unaltered from the original series. Formally, if one is given a power series : $\backslash sum\_^\backslash infty\; a\_n\backslash cdot\; x^n$ then its multisection is a power series of the form : $\backslash sum\_^\backslash infty\; a\_\backslash cdot\; x^$ where ''c'', ''d'' are integers, with 0 ≤ ''d'' < ''c''. == Multisection of analytic functions == A multisection of the series of an analytic function : $F(x)\; =\; \backslash sum\_^\backslash infty\; a\_n\backslash cdot\; x^n$ has a closed-form expression in terms of the function $F(x)$: : $\backslash sum\_^\backslash infty\; a\_\backslash cdot\; x^\; =\; \backslash tfrac\backslash cdot\; \backslash sum\_^\; w^\backslash cdot\; F(w^k\backslash cdot\; x),$ where $w\; =\; e^\}$ is a primitive ''c''-th root of unity. 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「Series multisection」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.