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In mathematics, Heckman–Opdam polynomials (sometimes called Jacobi polynomials) ''P''λ(''k'') are orthogonal polynomials in several variables associated to root systems. They were introduced by . They generalize Jack polynomials when the roots system is of type ''A'', and are limits of Macdonald polynomials ''P''λ(''q'', ''t'') as ''q'' tends to 1 and (1 − ''t'')/(1 − ''q'') tends to ''k''. Main properties of the Heckman–Opdam polynomials have been detailed by Siddhartha Sahi 〔A new formula for weight multiplicities and characters, Theorem 1.3. about Heckman–Opdam polynomials, Siddhartha Sahi arXiv:math/9802127 ()〕 ==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「Heckman–Opdam polynomials」の詳細全文を読む スポンサード リンク
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