  Through an algebraic method using the Dunkl--Cherednik operators, the
multivariable Hermite and Laguerre polynomials associated with the $A_{N-1}$-
and $B_N$-Calogero models with bosonic, fermionic and distinguishable particles
are investigated. The Rodrigues formulas of column type that algebraically
generate the monic non-symmetric multivariable Hermite and Laguerre polynomials
corresponding to the distinguishable case are presented. Symmetric and
anti-symmetric polynomials that respectively give the eigenstates for bosonic
and fermionic particles are also presented by the symmetrization and
anti-symmetrization of the non-symmetric ones. The norms of all the eigenstates
for all cases are algebraically calculated in a unified way.
