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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 Anger–Weber function ： ウィキペディア英語版 Anger function In mathematics, the Anger function, introduced by , is a function defined as : $\backslash mathbf\_\backslash nu(z)=\backslash frac\; \backslash int\_0^\backslash pi\; \backslash cos\; (\backslash nu\backslash theta-z\backslash sin\backslash theta)\; \backslash ,d\backslash theta$ and is closely related to Bessel functions. The Weber function (also known as Lommel-Weber function), introduced by , is a closely related function defined by : $\backslash mathbf\_\backslash nu(z)=\backslash frac\; \backslash int\_0^\backslash pi\; \backslash sin\; (\backslash nu\backslash theta-z\backslash sin\backslash theta)\; \backslash ,d\backslash theta$ and is closely related to Bessel functions of the second kind. ==Relation between Weber and Anger functions== The Anger and Weber functions are related by :$\backslash sin(\backslash pi\; \backslash nu)\backslash mathbf\_\backslash nu(z)\; =\; \backslash cos(\backslash pi\backslash nu)\backslash mathbf\_\backslash nu(z)-\backslash mathbf\_(z)$ :$-\backslash sin(\backslash pi\; \backslash nu)\backslash mathbf\_\backslash nu(z)\; =\; \backslash cos(\backslash pi\backslash nu)\backslash mathbf\_\backslash nu(z)-\backslash mathbf\_(z)$ so in particular if ν is not an integer they can be expressed as linear combinations of each other. If ν is an integer then Anger functions Jν are the same as Bessel functions ''J''ν, and Weber functions can be expressed as finite linear combinations of Struve functions. 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「Anger 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.