We have investigated the optical transitions in Be ␦-doped GaAs/ AlAs multiple quantum wells with various width and doping levels. The fractional dimensionality model was extended to describe free-electron-acceptor ͑free hole-donor͒ transitions in a quantum well. The measured photoluminescence spectra from the samples were interpreted within the framework of this model, and acceptor-impurity induced effects in the photoluminescence line shapes from multiple quantum wells of different widths were demonstrated.