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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 Rogers polynomials ： ウィキペディア英語版 Rogers polynomials In mathematics, the Rogers polynomials, also called Rogers–Askey–Ismail polynomials and continuous q-ultraspherical polynomials, are a family of orthogonal polynomials introduced by in the course of his work on the Rogers–Ramanujan identities. They are ''q''-analogs of ultraspherical polynomials, and are the Macdonald polynomials for the special case of the ''A''1 affine root system . and discuss the properties of Rogers polynomials in detail. ==Definition== The Rogers polynomials can be defined in terms of the descending Pochhammer symbol and the basic hypergeometric series by :$C\_n(x;\backslash beta|q)\; =\; \backslash frace^\; q^;q,q\backslash beta^e^)$ where ''x'' = cos(''θ''). 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「Rogers 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.