  The aim of this paper is to provide an explicit expressions for the
generalized q-deformed harmonic oscillator coherent states obtained in terms of
a weak and strong behavior expansions. We first use the weak (s --> 0) deformed
version of q-boson annihilation operator to solve Barut-Girardello's
eigenvalues coherent states equation for the generalized q-deformed harmonic
oscillator. In strong behavior limit (s --> 1) the previous result is resumed
using the variational perturbation theory. We also describe the construction of
their resolution of unity.
