Asymptotic Formula for the Derivatives of Orthogonal Polynomials.

机译：正交多项式导数的渐近公式。

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An asymptotic expression is found for the derivatives of orthogonal polynomials on the unit circle. The condition on the weight function is local and the result is stronger than the previous ones. (Author)

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作者
nevai,paul g.;
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年度 1977
页码 1-11
总页数 11
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Polynomials; Derivatives(Mathematics); Asymptotic series; Formulas(Mathematics); Orthogonality; Weighting functions; Splines(Geometry); Convergence; Fourier analysis; Orthogonal functions;

机译：多项式;导数（数学）;渐近系列;公式（数学）;正交性;加权函数;样条（几何）;收敛;傅里叶分析;正交函数;

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1. Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line [J] . Berrchoa E, Cachafeiro A, Garcia-Amor J Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2005,第3期

机译：Sobolev正交多项式的区间和单位圆之间的连接。真正的强力渐近线
2. Connections between Interval and Unit Circle for Sobolev Orthogonal Polynomials. Strong Asymptotics on the Real Line [J] . E. Berriochoa, A. Cachafeiro, J. GarcÍa-Amor Acta Applicandae Mathematicae . 2005,第3期

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3. Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case [J] . Dueas, H., Marcelln, F. Journal of Computational and Applied Mathematics . 2010,第4期

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5. Asymptotic properties of Muntz orthogonal polynomials. [D] . Stefansson, Ulfar F. 2010

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6. ... formula ...-convergence complete convergence and weak laws of large numbers for asymptotically negatively associated random vectors with values in ... formula ... [O] . Mi-Hwa Ko -1

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7. Connection formulas for general discrete Sobolev polynomials. Mehler-Heine asymptotics [O] . Peña, A., Rezola, M. L. 2014

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8. Connection Relations and Bilinear Formulas for the Classical Orthogonal Polynomials. [R] . Ismail, M. E. H. 1975

机译：经典正交多项式的双线性公式。

Asymptotic Formula for the Derivatives of Orthogonal Polynomials.

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