  A description of the orthosymplectic Lie superalgebra $osp(2n+1/2m)$ and also
of its $q-$deformed analogue $U_q[osp(2n+1/2m)]$ in terms of a new set of
generators, called Green generators, is given. These generators are very
different form the well known Chevalley generators. Mathematically the Green
generators are the root vectors, corresponding to the positive and the negative
orthogonal roots. Physically, they consist of $m$ pairs of (deformed) para-Bose
operators and $n$ pairs of (deformed) para-Fermi operators.
