On the Andrews–Yee Identities Associated with Mock Theta Functions

Abstract

In this paper, we generalize the Andrews–Yee identities associated with the third-order mock theta functions $$\omega (q)$$ and $$\nu (q)$$. We obtain some q-series transformation formulas, one of which gives a new Bailey pair. Using the classical Bailey lemma, we derive a product formula for two $${}_2\phi _1$$ series. We also establish recurrence relations and transformation formulas for two finite sums arising from the Andrews–Yee identities.