# On second and eighth order mock theta functions

@article{Cui2018OnSA, title={On second and eighth order mock theta functions}, author={Su-Ping Cui and Nancy S. S. Gu and Li-jun Hao}, journal={The Ramanujan Journal}, year={2018}, pages={1-30} }

Mock theta functions have been deeply studied in the literature. Historically, there are many forms of representations for mock theta functions: Eulerian forms, Hecke-type double sums, Appell–Lerch sums, and Fourier coefficients of meromorphic Jacobi forms. In this paper, we first establish Hecke-type double sums for the second and eighth order mock theta functions by Bailey’s lemma and a Bailey pair given by Andrews and Hickerson. Meanwhile, we give different proofs of the generalized Lambert…

## 3 Citations

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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…

### ON SOME NEW MOCK THETA FUNCTIONS

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In 1991, Andrews and Hickerson established a new Bailey pair and combined it with the constant term method to prove some results related to sixth-order mock theta functions. In this paper, we study…

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