Generalized Trubnikov functions for unmagnetized plasmas

A class of relativistic dispersion functions for unmagnetized ther mal plas mas is defined by generalizing functions fir st defined by Trubnikov in 19 58, Recursion relations are derived that allow one to generate explicit exp ressions for the class of functions in ter ms of the relativistic plasma di spersion function T(z, rho) introduced by Godfrey et al, in 1975, These fun ctions are relevant to the description of the I response of a weakly manget ized, highly relativistic, thermal plasma.