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