2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68184For the oscillator-like systems, connected with q-Hermite polynomials, coherent states of Barut-Girardello type are defined. The well-known Arik-Coon oscillator naturally arose in the framework of suggested approach as oscillator, connected with the Rogers q-Hermite polynomials, in the same way as usual oscillator with standard Hermite polynomials. The results about the coherent states for discrete q-Hermite polynomials of II type are quite new.Latex2e, 10 pages, Submited to the Proceedings of the international seminar "DAY on DIFFRACTION'2003" v2 Some misprints are correctedQuantum AlgebraClassical Analysis and ODEstext