Representations of mock theta functions

@article{Chen2020RepresentationsOM,
  title={Representations of mock theta functions},
  author={Dandan Chen and Liuquan Wang},
  journal={Advances in Mathematics},
  year={2020}
}
Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized identities with two parameters $a$ and $b$. Specializing the choices of $(a,b)$, we not only give various known and new representations for the mock theta functions of orders 2, 3, 5, 6 and 8, but also present many other interesting identities. We find that some mock theta functions of different orders are… 

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