Semi-classical Orthogonal Polynomials and the Painleve Equations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：sheep0211

【摘要】

：

　　In this talk I shall discuss semi-classical orthogonal polynomials arising from perturbations of classical weights.It is shown that the coefficients of the

【作者】

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ClarksonPeter;

【机构】

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Univ.of Kent

【出处】

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第八届工业与应用数学国际大会

【发表日期】

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2015年期

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　　In this talk I shall discuss semi-classical orthogonal polynomials arising from perturbations of classical weights.It is shown that the coefficients of the three-term recurrence relation satisfied by the polynomials can be expressed in terms of Wronskians which involve special functions.These Wronskians are related to special function solutions of the Painleve equations.Using this relationship recurrence relation coefficients can be explicitly written in terms of exact solutions of Painleve equations.

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Semi-classical Orthogonal Polynomials and the Painleve Equations

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