Pade approximants, continued fractions, and orthogonal polynomials

A. I. Aptekarev; V. I. Buslaev; A. Martinez-Finkelshtein; S.P. Suetin

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Pade approximants, continued fractions, and orthogonal polynomials

机译：Pade近似值，连续分数和正交多项式

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摘要

This is a survey of results constituting the foundations of the modern convergence theory of Pade approximants.

机译：这是对构成Pade近似值现代收敛理论基础的结果的调查。

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来源
《Russian mathematical surveys》 |2011年第6期|共83页
作者
A. I. Aptekarev; V. I. Buslaev; A. Martinez-Finkelshtein; S.P. Suetin;
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正文语种 eng
中图分类数学;
关键词
rational approximation; orthogonal polynomials; Pade approximants; equilibrium distributions; stationary compact sets; S-property;

机译：有理逼近;正交多项式;Pade逼近;平衡分布;平稳紧集;S性质;

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专利

1. Pade approximants, continued fractions, and orthogonal polynomials [J] . A. I. Aptekarev, V. I. Buslaev, A. Martinez-Finkelshtein, Russian mathematical surveys . 2011,第6期

机译：Pade近似值，连续分数和正交多项式
2. Function-valued Pade-type approximant via the formal orthogonal polynomials and its applications in solving integral equations [J] . Gu CQ, Shen JD Journal of Computational and Applied Mathematics . 2008,第1期

机译：形式正交多项式的函数值Pade型近似及其在求解积分方程中的应用
3. Orthogonal Laurent polynomials and two-point Pade approximants associated with Dawson's integral [J] . Diaz-Mendoza C, Gonzalez-Vera P, Paiz AJ Journal of Computational and Applied Mathematics . 2005,第1a2期

机译：正交Laurent多项式和与Dawson积分相关的两点Pade近似值
4. Complex Generalised Inverse Function-valued Pade Approximants with Orthogonal Generating Polynomials Ⅰ [C] . Chunjing Li International Symposium on Computing and Its Applications in Information Science(ISCIAIS 2005); 20050815-19; Hefei(CN) . 2005

机译：具有正交生成多项式的复杂广义逆函数值Pade近似Ⅰ
5. Pade approximants technique for the analysis of waveguide junctions and beam splitters. [D] . Ameeruddin, Mohammed. 2004

机译：Pade近似技术用于分析波导结和分束器。
6. A Robust Handwritten Numeral Recognition Using Hybrid Orthogonal Polynomials and Moments [O] . Sadiq H. Abdulhussain, Basheera M. Mahmmod, Marwah Abdulrazzaq Naser, 2021

机译：使用混合正交多项式和时刻的强大的手写数字识别
7. The Berlekamp-Massey Algorithm. A Sight from Theory of Pade Approximants and Orthogonal Polynomials [O] . S. B. Gashkov, I. B. Gashkov 2015

机译：Berlekamp-massey算法。从pade逼近理论和正交多项式看
8. A Method for Solving Polynomial Equations by Continued Fractions. [R] . bracha, amnon 1972

机译：用连续分数求解多项式方程的一种方法。

Pade approximants, continued fractions, and orthogonal polynomials

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