  Recently, Andrews, Dixit and Yee defined two partition functions
$p_{\omega}(n)$ and $p_{\nu}(n)$ that are related with Ramanujan's mock theta
functions $\omega(q)$ and $\nu(q)$, respectively. In this paper, we present two
variable generalizations of their results. As an application, we reprove their
results on $p_{\omega}(n)$ and $p_{\nu}(n)$ that are analogous to Euler's
pentagonal number theorem.
