The n order expressions for the squeezed and coherent states are deriv
ed as a natural generalization of the usual squeezed coherent and cohe
rent states. The photon number distribution of n order of squeezed coh
erent states that are eigenstates of the operators (b) over cap(n) = (
S) over cap(n) (a) over cap (S) over cap(+n) is derived. The n order c
oherent state is a particular case of the states that we are now deriv
ing. Some mathematical and quantum statistical properties of these sta
tes are discussed.