Some identities associated with mock theta functions ω(q) and ν(q)

Recently, Andrews, Dixit, and Yee defined two partition functions p ω ( n ) and p ν ( n ) that are related with Ramanujan’s mock theta functions ω ( q ) and ν ( q ) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p ω ( n ) and p ν ( n ) that are analogous to Euler’s pentagonal number theorem.