HALLNÄS, M., 2007. An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3 (037), 17pp.
We review a recent construction of an explicit analytic series representation for
symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero–
Sutherland type models. We also indicate a generalisation of this result to polynomials
which give the eigenfunctions of so-called ‘deformed’ Calogero–Sutherland type models.