On second and eighth order mock theta functions

  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},
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… 

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