Bilateral mock theta functions of order “thirteen”. (English) Zbl 1056.33015
The notion of a mock theta function goes back to Ramanujan. Continuing their investigation on bilateral mock theta functions, the authors obtain eight bilateral mock theta functions of order ‘thirteen’. They use several transformation formulae of bilateral basic hypergeometric series. Bilateral mock theta functions of order ’thirteen’ can be expressed in terms of basic hypergeometric series \(_{7}\Phi_{6}\).
Reviewer: Stamatis Koumandos (Nicosia)
MSC:
33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
33D99 | Basic hypergeometric functions |