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Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials

机译：Charlier，Laguerre和Jacobi多项式的收敛渐近展开式

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摘要

Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions are given in terms of functions that are special cases of the given polynomials. the method is based on expanding integrals in one or two points of the complex plane, these points being saddle points of the phased functions of the integrands.

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作者
Lopez, J. L.; Temme, N. M.;
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年度 2003
页码 p.1-23
总页数 23
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Charlier polynomials ; Laguerre polynomials ; Jacobi polynomials ; Asymptotic expansions ; Saddle point methods ; Two-points Taylor expansions;

机译：Charlier多项式; Laguerre多项式; Jacobi多项式;渐近展开;鞍点法;两点Taylor展开;

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专利

1. CERTAIN ASYMPTOTIC EXPANSIONS FOR LAGUERRE POLYNOMIALS AND CHARLIER POLYNOMIALS [J] . L. C. Hsu 分析论及其应用：英文版 . 1995,第001期

机译：Laguerre多项式和Charlier多项式的某些渐近扩展
2. Asymptotic approximations between the Hahn-type polynomials and Hermite, Laguerre and Charlier polynomials [J] . Ferreira C, Lopez JL, Pagola PJ Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2008,第3期

机译：Hahn型多项式与Hermite，Laguerre和Charlier多项式之间的渐近逼近
3. Asymptotic Approximations between the Hahn-Type Polynomials and Hermite, Laguerre and Charlier Polynomials [J] . Chelo Ferreira, José L. López, Pedro J. Pagola Acta Applicandae Mathematicae . 2008,第3期

机译：Hahn型多项式与Hermite，Laguerre和Charlier多项式之间的渐近逼近
4. Hypergeometric orthogonal polynomials as expansion basis sets for atomic and molecular orbitals:The Jacobi ladder [C] . Cecilia Coletti, Vincenzo Aquilanti, Federico Palazzetti Molecular Electronic Structure conference . 2019

机译：超越正交多项式作为原子和分子轨道膨胀基集：雅各梯
5. Hamilton -Jacobi equations, viscosity solutions and asymptotics of Hamiltonian systems [D] . Gomes, Diogo Aguiar 2000

机译：哈密顿系统的哈密顿-Jacobi方程，粘度解和渐近性
6. Numerical solution of DGLAP equations using Laguerre polynomials expansion and Monte Carlo method [O] . A. Ghasempour Nesheli, A. Mirjalili, M. M. Yazdanpanah -1

机译：用Laguerre多项式展开和蒙特卡洛方法求解DGLAP方程的数值解。
7. Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials [O] . López, José L., Temme, Nico M. 2004

机译：Charlier，Laguerre和Jacobi的收敛渐近扩张多项式
8. Some New Results for Laguerre, Charlier and Meixner Polynomials [R] . Bavinck, H. 1996

机译：Laguerre，Charlier和meixner多项式的一些新结果

Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials

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