16 citations · 51 across the 9 of their papers we have counts for
10 papers
Elliptic Integrable Systems and Special Functions
Martin Hallnäs, Edwin Langmann
We discuss elliptic quantum Calogero-Moser-Sutherland models, including their relativistic generalizations due to Ruijsenaars and van Diejen, and the relations of these models to c…
Calogero-Moser-Sutherland systems
Martin Hallnäs
We discuss integrable many-body systems in one dimension of Calogero-Moser-Sutherland type, both classical and quantum as well as nonrelativistic and relativistic. In particular, w…
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III. Factorized asymptotics
Martin Hallnäs, Simon Ruijsenaars
In the two preceding parts of this series of papers, we introduced and studied a recursion scheme for constructing joint eigenfunctions of the Hamiltonians ar…
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…
An orthogonality relation for multivariable Bessel polynomials
Martin Hallnäs
In a recent paper we introduced a multivariable generalisation of the Bessel polynomials, depending on one extra parameter, and related to the so-called hyperbolic Sutherland model…
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…