In this article, the problem of radiative band-impurity transitions in CdTe with a large number of phonon – plasmon replicas was resolved within the framework of the Green’s function method and the Fluctuation-Dissipation Theorem taking into account the interaction with phonon-plasmon coupling. During the analysis of the correlation function (causal Green’s function) in the Random Phase Approximation and Debye-Waller Approximation using second quantization the form-function of the impurity luminescence spectrum with a multiquantum equidistant structure was obtained.