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Partial differential equations having orthogonal polynomial solutions

Published:1998-11 Issue:1-2 Volume:99 Page:239-253
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Kim Y.J.,Kwon K.H.,Lee J.K.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. On polynomial solutions of a class of linear differential equations of the second order;Brenke;Bull. Amer. Math. Soc.,1930

2. Rodrigues formulas and the classical orthogonal polynomials;Cryer;Boll. Unione. Mat. Ital.,1970

3. Two-variable analogues of the classical orthogonal polynomials;Koornwinder,1975

4. Orthogonal polynomials in two variables;Krall;Ann. Mat. Pura Appl. Serie 4,1967

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On bivariate classical orthogonal polynomials;Applied Mathematics and Computation;2018-05

2. Tridiagonal Operators and Zeros of Polynomials in Two Variables;Abstract and Applied Analysis;2016

3. Orthogonal polynomials in two variables as solutions of higher order partial differential equations;Journal of Approximation Theory;2011-01

4. New steps on Sobolev orthogonality in two variables;Journal of Computational and Applied Mathematics;2010-12

5. A matrix Rodrigues formula for classical orthogonal polynomials in two variables;Journal of Approximation Theory;2009-03

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