  With the help of the general theory of the Heun equation, this paper
completes previous work by the authors and other groups on the explicit
representation of the massive gravitino propagator in four-dimensional de
Sitter space. As a result of our original contribution, all weight functions
which multiply the geometric invariants in the gravitino propagator are
expressed through Heun functions, and the resulting plots are displayed and
discussed after resorting to a suitable truncation in the series expansion of
the Heun function. It turns out that there exist two ranges of values of the
independent variable in which the weight functions can be divided into
dominating and sub-dominating family.
