On Andrews--Warnaar's identities of partial theta functions
Combinatorics
2017-09-22 v1
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, et al. but also unveils a new characteristic of such identities. As further applications, we establish a general form of Warnaar's identity and a general --series transformation associated with Bailey pairs via the use of the power series expansion of partial theta functions.
Keywords
Cite
@article{arxiv.1709.07389,
title = {On Andrews--Warnaar's identities of partial theta functions},
author = {Jin Wang and Xinrong Ma},
journal= {arXiv preprint arXiv:1709.07389},
year = {2017}
}