Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions-Reference-Cited by-同舟云学术

Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions

Published:2021-02 Issue:2 Volume:494 Page:124642
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Gil A.,Segura J.^ORCID,Temme N.M.

Funder

Ministerio de Ciencia e Innovación

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Iteration-free computation of Gauss-Legendre quadrature nodes and weights;Bogaert;SIAM J. Sci. Comput.,2014

2. Asymptotic behaviour of Jacobi polynomials and their zeros;Dimitrov;Proc. Am. Math. Soc.,2016

3. Fast, reliable and unrestricted iterative computation of Gauss–Hermite and Gauss–Laguerre quadratures;Gil;Numer. Algorithms,2020

4. Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures;Gil;Stud. Appl. Math.,2018

5. Asymptotic expansions of Jacobi polynomials for large values of β and of their zeros;Gil;SIGMA,2018

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