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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 Bessel polynomials ： ウィキペディア英語版 Bessel polynomials In mathematics, the Bessel polynomials are an orthogonal sequence of polynomials. There are a number of different but closely related definitions. The definition favored by mathematicians is given by the series (Krall & Frink, 1948) :$y\_n(x)=\backslash sum\_^n\backslash frac\backslash ,\backslash left(\backslash frac\backslash right)^k$ Another definition, favored by electrical engineers, is sometimes known as the reverse Bessel polynomials (See Grosswald 1978, Berg 2000). :$\backslash theta\_n(x)=x^n\backslash ,y\_n(1/x)=\backslash sum\_^n\backslash frac\backslash ,\backslash frac\}$ The coefficients of the second definition are the same as the first but in reverse order. For example, the third-degree Bessel polynomial is :$y\_3(x)=15x^3+15x^2+6x+1\backslash ,$ while the third-degree reverse Bessel polynomial is :$\backslash theta\_3(x)=x^3+6x^2+15x+15\backslash ,$ The reverse Bessel polynomial is used in the design of Bessel electronic filters. == Properties == 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「Bessel polynomials」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.