The $2$-fold Bailey lemma and mock theta functions

Abstract

In this paper, we obtain two identities related to mock theta functions ${\mathcal{ℱ}}_2\left(q\right)$ and $\varphi \left(q\right)$ by employing the $2$-fold Bailey lemma. And, we also deduce an identity as mock theta function $\nu \left(q\right)$ by using Bailey’s lemma.