Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Desrosiers, P., Hallnäs, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148381
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type / P. Desrosiers, M. Hallnäs // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 48 назв. — англ.

We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type. In particular, we obtain generating functions, dual...