Abstract
•The general classes of some quantum states are considered. Much  attention is given for the squeezed displaced Fock states (SDFS's).  The superpositions of these quantum states are reviewed.  The non-classical  properties of these states such as photon number distribution and  squeezing are discussed.   The s-ordered distribution functions of the  SDFS's are investigated.   Analytical and numerical results for the quadrature component  distributions for the superposition of a pair of SDFS's are presented. The  Pegg-Barnett (PB) phase distribution is given and compared with the  radial integration of the s-parameterized distribution function over the  phase space variable of SDFS's.