A unified construction of generalized classical polynomials associated with operators of calogero-Sutherland Type
journal contributionposted on 2013-02-28, 15:06 authored by Martin Hallnas, Edwin Langmann
In this paper we consider a large class of many-variable polynomials which contains generalizations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cases, and which occur as the polynomial part in the eigenfunctions of Calogero–Sutherland type operators and their deformations recently found and studied by Chalykh, Feigin, Sergeev, and Veselov. We present a unified and explicit construction of all these polynomials.
- Mathematical Sciences
CitationHALLNÄS, M. and LANGMANN, E., 2010. A unified construction of generalized classical polynomials associated with operators of calogero-Sutherland Type. Constructive Approximation, 31 (3), pp. 309 - 342.
- AM (Accepted Manuscript)
NotesThis article was published in the journal, Constructive Approximation [© Springer-Verlag] and the defintive version is available at: http://dx/doi.org/10.1007/s00365-009-9060-4