DJKM algebras and non-classical orthogonal polynomials

Autor(es)

Cox, Ben ^[1] ; Futorny, Vyacheslav ^[2] ; Tirao, Juan A. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 255, n. 9, p. 2846-2870, NOV 1 2013.
• Citações Web of Science: 4

Resumo

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)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático