  A new formalism using the ideas of the augmented space recursion (introduced
by one of us) has been proposed to study the ground state properties of ordered
and disordered one-dimensional Holstein model. For ordered case our method
works equally well in all parametric regime and matches with the existing exact
diagonalization and DMRG results. On the other hand the quenched
substitutionally disordered model works in low and intermediate regime of
electron phonon coupling. Effect of phononic and substitutional disorder are
treated on equal footing.
