  The investigation of the generalized coherent states for oscillator-like
systems connected with given family of orthogonal polynomials is continued. In
this work we consider oscillators connected with Meixner and Meixner-Pollaczek
polynomials and define generalized coherent states for these oscillators. The
completeness condition for these states is proved by the solution of the
related classical moment problem. The results are compared with the other
authors ones. In particular, we show that the Hamiltonian of the relativistic
model of linear harmonic oscillator can be thought of as the linearization of
the quadratic Hamiltonian which naturally arised in our formalism.
