  The aim of this paper is to review our results on description of the
multi-parameter deformed oscillators and their oscillator algebras. We define
generalized (q;\alpha,\beta,\gamma;\nu)-deformed oscillator algebra and study
its irreducible representations. The Arik-Coon oscillator with the main
relation aa^+ - q a^+a = 1, where q > 1 is embedded in this framework. We find
connection of this oscillator with the Askey (1/q)-Hermite polynomials. We
construct family of the generalized coherent states associated with these
polynomials and give their explicit expression in terms of standard special
functions. By means of the solution of appropriate classical Stielties moment
problem we prove the (over)completeness relation of these states.
