01391nam a22002057a 4500 20240205123210.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Zhang, Zhizheng Some identities of certain basic hypergeometric series and their applications to mock theta functions (Journal Article) New Delhi :Indian National Science Academy | Springer , 2023 1214-1225p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** Abstract: In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions. Meanwhile, some identities of bilateral series associated with classical mock theta functions are deduced. From the duals of second type for universal mock theta functions, two new Hecke-type identities are derived. Some special cases for classical mock theta functions are also obtained immediately. Finally, an identity for is discussed by a transformation formula. Mock theta functions| Bilateral series| Basic hypergeometric series| Hecke-type identities Song, Hanfei https://doi.org/10.1007/s13226-022-00335-5 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45423 45422