A Dispersion Function for the Regularized Kappa Distribution Function

In this work we define the plasma dispersion function for a suprathermalplasma described with a regularized kappa distribution. As is known fromMaxwellian as well as (standard) kappa plasmas, the respective Fried-Conte andthe modified plasma dispersion functions are valuable tools for variousanalytical studies. For the latter is has been proven very useful to know aboutthe mathematical properties, as analytical continuation, series expansions aswell as asymptotic expressions. Given the growing popularity of the regularizedkappa distribution, as indicated by its increasing number of applications tovarious problems related to suprathermal plasmas, we extend its theoreticaltreatment here by providing the corresponding plasma dispersion function alongwith various of its properties.