FULLY RELATIVISTIC PLASMA DISPERSION FUNCTION

Properties of a relativistic plasma dispersion function (PDF) that is required for the description of waves propagating perpendicular to a m agnetic field in a fully relativistic, magnetized, Maxwellian plasma, are presented. Series, asymptotic series, recurrence relations, integr al representations, derivatives, generating functions, approximations, differential equations, and connections with standard transcendental functions are discussed, as are the PDF's analytic properties. (C) 199 4 American Institute of Physics.