Bosonic and fermionic eigenstates for generalized Sutherland models

We construct bosonic and fermionic eigenstates for the generalized Sutherla nd models associated with arbitrary reduced root systems respectively, thro ugh W-symmetrization and W-anti-symmetrization of Heckman-Opdam's nonsymmet ric Jacobi polynomials. Square norms of the nonsymmetric Heckman-Opdam poly nomials are evaluated from their Rodrigues formulae. The W-symmetrization a nd W-anti-symmetrization bf the nonsymmetric polynomials enable us to evalu ate square norms of bosonic and fermionic eigenstates for the generalized S utherland models.