On the Andrews-Yee Identities Associated with Mock Theta Functions

摘要

In this paper, we generalize the Andrews-Yee identities associated with the third-order mock theta functions.(q) and.(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 2f1 series. We also establish recurrence relations and transformation formulas for two finite sums arising from the Andrews-Yee identities.