16 citations · 51 across the 9 of their papers we have counts for
Showing math.QAShow all
3 papers · 1 filter
math.QA2011★ 16 cited
Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
Patrick Desrosiers, Martin Hallnäs
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 par…
math.QA2008★ 3 cited
Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential
Martin Hallnäs
A multivariable generalisation of the Bessel polynomials is introduced and studied. In particular, we deduce their series expansion in Jack polynomials, a limit transition from mul…
math.QA2007★ 8 cited
A basis for the polynomial eigenfunctions of deformed Calogero-Moser-Sutherland operators
Martin Hallnäs
We construct a linear basis for the polynomial eigenfunctions of a family of deformed Calogero-Moser-Sutherland operators naturally associated with hypergeometric polynomials. In o…