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arXiv · 1210.2129

DJKM algebras and non-classical orthogonal polynomials

Ben Cox·Vyacheslav Futorny·Juan A. Tirao
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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 in their work on the Landau-Lifshitz equations. Two of the families of polynomials we show satisfy certain forth order linear differential equations, are orthogonal and are not of classical type.

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BibTeXRIS

Ben Cox, Vyacheslav Futorny, Juan A. Tirao. 2012-10-08. DJKM algebras and non-classical orthogonal polynomials. https://doi.org/10.1016/j.jde.2013.07.020

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