On second and eighth order mock theta functions. (English) Zbl 1445.33027
The main aim of the paper under review is to establish Hecke-type double sums for the second and eighth order mock theta functions. The method is based upon Bailey’s lemma and a Bailey pair given by G. E. Andrews and D. Hickerson [Adv. Math. 89, No. 1, 60–105 (1991; Zbl 0739.11042)]. Some identities for mock theta functions are also provided.
Reviewer: József Sándor (Cluj-Napoca)
MSC:
| 33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
| 11F27 | Theta series; Weil representation; theta correspondences |
Citations:
Zbl 0739.11042References:
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