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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 Discrete q-Hermite polynomials ： ウィキペディア英語版 Discrete q-Hermite polynomials In mathematics, the discrete ''q''-Hermite polynomials are two closely related families ''h''''n''(''x'';''q'') and ''ĥ''''n''(''x'';''q'') of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . give a detailed list of their properties. ==Definition== The discrete ''q''-Hermite polynomials are given in terms of basic hypergeometric functions and the Al-Salam–Carlitz polynomials by :$\backslash displaystyle\; h\_n(x;q)=q^\};0;q,-qx)\; =\; x^n;;q^2,q^/x^2)\; =\; U\_n^(x;q)$ :$\backslash displaystyle\; \backslash hat\; h\_n(x;q)=i^q^\}\_2\backslash phi\_1(q^,q^;0;q^2,-q^/x^2)\; =\; i^V\_n^(ix;q)$ and are related by :$h\_n(ix;q^)\; =\; i^n\backslash hat\; h\_n(x;q)$ 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「Discrete q-Hermite 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.