Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900490 | Advances in Applied Mathematics | 2018 | 18 Pages |
Abstract
In this paper we set up a bivariate representation of partial theta functions which not only unifies some famous identities for partial theta functions due to Andrews and Warnaar but also unveils a new characteristic of such identities. As further applications, we establish a general form of Warnaar's identity and a general q-series transformation associated with Bailey pairs via the use of the power series expansion of partial theta functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jin Wang, Xinrong Ma,