281 citations · 467 across the 12 of their papers we have counts for
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Isomorphisms of type affine Hecke algebras and multivariable orthogonal polynomials
T. H. Baker, P. J. Forrester
We examine two isomorphisms between affine Hecke algebras of type associated with parameters , and , . One of them maps the non-symmetric Macdonald polyn…
Symmetric Jack polynomials from non-symmetric theory
T. H. Baker, P. J. Forrester
The theory of non-symmetric Jack polynomials is developed independently of the theory of symmetric Jack polynomials, and this theory together with the relationship between the non-…
Multivariable Al-Salam & Carlitz polynomials associated with the type A q-Dunkl kernel
T. H. Baker, P. J. Forrester
The Al-Salam & Carlitz polynomials are -generalizations of the classical Hermite polynomials. Multivariable generalizations of these polynomials are introduced via a generating…
A -analogue of the type Dunkl operator and integral kernel
T. H. Baker, P. J. Forrester
We introduce the -analogue of the type Dunkl operators, which are a set of degree--lowering operators on the space of polynomials in variables. This allows the construct…
Non-Symmetric Jack Polynomials and Integral Kernels
T. H. Baker, P. J. Forrester
We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland mode…
Generalized weight functions and the Macdonald polynomials
T. H. Baker, P. J. Forrester
A weight function which -generalizes the ground state wave function of the multi-component Calogero-Sutherland quantum many body system is introduced. Conjectures, and some proo…