篇名 | Two-Variable Generalization of New Mock Theta Functions |
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卷期 | 29:3 |
作者 | Bhaskar Srivastava |
頁次 | 389-402 |
關鍵字 | Mock theta functions 、 q- Hypergeometric series 、 Functional equations |
出刊日期 | 201308 |
We define two variable generalization of new mock theta functions recently developed by Andrews and also of two new mock theta functions developed by Bringmann et al and give functional equations satisfied by these generalized functions. We show that these generalized functions are mock theta functions. We prove the main theorem that they are bounded near the neighbourhood of the unit circle.