Vesselin Stoyanov Drensky | Institute of Mathematics Bulgarian Academy of Sciences...
Orthogonal polynomials on the real line and on the unit circle.
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Coll Charleston, Dept Math, Charleston, SC 29424 - USA
[2] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil
[3] Univ Nacl Cordoba, CIEM FAMAF, RA-5000 Cordoba - Argentina
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 255, n. 9, p. 2846-2870, NOV 1 2013. |
| Web of Science Citations: | 4 |
| Abstract | |
We describe families of polynomials arising in the study of the universal central extensions of Lie algebras introduced by Date, Jimbo, Kashiwara, and Miwa (1983) {[}6] in their work on the Landau-Lifshitz equations. We show these two families of polynomials satisfy certain fourth order linear differential equations by direct computation and one of the families is a particular collection of associated ultraspherical polynomials. (C) 2013 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |