On the classification of differential equations having orthogonal polynomial solutions-Reference-Cited by-同舟云学术

On the classification of differential equations having orthogonal polynomial solutions

Published:1984-12 Issue:1 Volume:138 Page:35-53
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata
language:en
Short-container-title:Annali di Matematica pura ed applicata

Author:

Littlejohn Lance L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01762538.pdf

Reference25 articles.

1. F. V. Atkinson -W. N. Everitt,Orthogonal polynomials which satisfy second order differential equations, Christoffel Festschrift, (1981), Birkhauser, Basel.

2. R. P. Boas, Jr.,The Stieltjes moment problem for functions of bounded variation, Bull. Amer. Math. Soc.,45 (1939), pp. 399–404.

3. S. Bochner,Uber Sturm Liouvillesche Polynomsysteme, Math Z.,89 (1929), pp. 730–736.

4. E. Coddington -N. Levinson,Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.

5. R. H. Cole,Theory of Ordinary Differential Equations, Appleton-Century-Crofts, New York, 1968.

Cited by 49 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. Quantum properties of classical Pearson random variables;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2023-12-27

2. On the Solutions of Second-Order Differential Equations with Polynomial Coefficients: Theory, Algorithm, Application;Algorithms;2020-11-09

3. On moments of hypergeometric bivariate weight functions;Bulletin des Sciences Mathématiques;2017-11

4. From Krall discrete orthogonal polynomials to Krall polynomials;Journal of Mathematical Analysis and Applications;2017-06

5. Moment representations of the exceptional X 1 -Laguerre orthogonal polynomials;Mathematische Nachrichten;2017-01-04