The high-frequency dielectric dispersions of the sodium salt of poly(L-glutamic acid) aqueous solutions in the frequency range from 1 to 1,000 MHz have been analyzed by means of the Cole-Davidson relaxation function in the frequency domain and by means of the Williams-Watts relaxation function in the time domain. The analogies between the two descriptions are discussed on the basis of the analysis carried out by Lindsey and Patterson and the connections between the dipole-dipole correlation function based on the kinetic model for polyion dynamics proposed by Skinner and the Williams-Watts nonexponential decay function are briefly discussed.