  We construct bosonic and fermionic eigenstates for the generalized Sutherland
models associated with arbitrary reduced root systems respectively, through
W-symmetrization and W-anti-symmetrization of Heckman-Opdam's nonsymmetric
Jacobi polynomials. Square norms of the nonsymmetric Heckman-Opdam polynomials
are evaluated from their Rodrigues formulae. The W-symmetrization and
W-anti-symmetrization of the nonsymmetric polynomials enable us to evaluate
square norms of bosonic and fermionic eigenstates for the generalized
Sutherland models.
