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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 Brenke–Chihara polynomials ： ウィキペディア英語版 Brenke–Chihara polynomials In mathematics, Brenke polynomials are special cases of generalized Appell polynomials, and Brenke–Chihara polynomials are the Brenke polynomials that are also orthogonal polynomials. introduced sequences of Brenke polynomials ''P''''n'', which are special cases of generalized Appell polynomials with generating function of the form :$A(w)B(xw)=\backslash sum\_^\backslash infty\; P\_n(x)w^n.$ Brenke observed that Hermite polynomials and Laguerre polynomials are examples of Brenke polynomials, and asked if there are any other sequences of orthogonal polynomials of this form. found some further examples of orthogonal Brenke polynomials. completely classified all Brenke polynomials that form orthogonal sequences, which are now called Brenke–Chihara polynomials, and found their orthogonality relations. ==References== * * * * 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「Brenke–Chihara 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.