%0 Journal Article %T Polaron with disordered electron-phonon interaction %A Bakhrom Yavidov %J Physics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1408.3697v2