  In this paper we obtain large $z$ asymptotic expansions in the complex plane
for the tau function corresponding to special function solutions of the
Painlev\'e II differential equation. Using the fact that these tau functions
can be written as $n\times n$ Wronskian determinants involving classical Airy
functions, we use Heine's formula to rewrite them as $n$-fold integrals, which
can be asymptotically approximated using the classical method of steepest
descent in the complex plane.
