Asymptotic Analysis of Associated Orthogonal Polynomials via Three-term Recurrence Relations

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：ahclgc

【摘要】

：

　　We study a group of orthogonal polynomials satisfying certain three-term recurrence relations with coefficients being linear or quadratic in the polynomial

【作者】

：

WangXiang-Sheng;

【机构】

：

Southeast Missouri State Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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论文部分内容阅读

　　We study a group of orthogonal polynomials satisfying certain three-term recurrence relations with coefficients being linear or quadratic in the polynomial degree.Plancherel-Rotach type asymptotic formulas of the orthogonal polynomials as the polynomial degree tends to infinity are obtained by successive approximation and matching principle.Applications are given to asymptotic analysis of associated orthogonal polynomials.

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Asymptotic Analysis of Associated Orthogonal Polynomials via Three-term Recurrence Relations

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