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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 Mott polynomials ： ウィキペディア英語版 Mott polynomials In mathematics the Mott polynomials ''s''''n''(''x'') are polynomials introduced by who applied them to a problem in the theory of electrons. They are given by the exponential generating function :$e^=\backslash sum\_n\; s\_n(x)\; t^n/n!.$ The first few of them are :$s\_0(x)=1;$ :$s\_1(x)=-\backslash fracx;$ :$s\_2(x)=\backslash fracx^2;$ :$s\_3(x)=-\backslash fracx-\backslash fracx^3;$ :$s\_4(x)=\backslash fracx^2+\backslash fracx^4;$ :$s\_5(x)=-\backslash fracx-\backslash fracx^3-\backslash fracx^5;$ :$s\_6(x)=\backslash fracx^2+\backslash fracx^4+\backslash fracx^6;$ The polynomials ''s''''n''(''x'') form the associated Sheffer sequence for –2''t''/(1–t2) . give an explicit expression for them in terms of the generalized hypergeometric function 3F0. ==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「Mott 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.