  We construct a class of generalized phase coherent states indexed by points
of the unit circle and depending on three positive parameters "gamma","alpha"
and "epsilon" by replacing the labelling coefficients of the canonical coherent
states by circular Jacobi polynomials with parameter "gamma". The special case
"gamma" = 0 corresponds to well known phase coherent phase states. The
constructed states are superposition of eigenstates of a one-parameter
pseudoharmonic oscillator depending on "alpha" and solve the identity of the
state Hilbert space at the limit "epsilon"->0+. Closed form for their
wavefunctions are obtained in the case "alpha" = "gamma" + 1 and their
associated coherent states transform is defined.
