  A single electron in one dimensional lattice is considered within the
framework of extended Holstein model at strong-coupling limit.
  Disordered density-displacement type electron-phonon interaction is proposed.
Basic parameters of small polaron formed due to disordered electron-phonon
interaction are calculated.
  It is shown that disordered electron-phonon interaction substantially
influences all properties of the polaron. Depending on disordered
electron-phonon interaction polaronic effect might be enhanced or diminished.
It turns out that all parameters of the polaron are site dependent. Further
application of proposed model is briefly discussed.
