Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624509 | Advances in Applied Mathematics | 2016 | 27 Pages |
Abstract
In view of the Bailey lemma and the relations between Hecke-type sums and Appell–Lerch sums given by Hickerson and Mortenson, we find that many Bailey pairs given by Slater can be used to deduce mock theta functions. Therefore, by constructing generalized Bailey pairs with more parameters, we derive some new families of mock theta functions. Meanwhile, some identities between new mock theta functions and classical ones are established. Furthermore, based on the proofs of the main theorems, many q-hypergeometric transformations are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nancy S.S. Gu, Jing Liu,