Two generalizations of Jacobi’s triple product identity and their applications

被引:0
|
作者
Chuanan Wei
Yuanbo Yu
Qiuxia Hu
机构
[1] Hainan Normal University,School of Mathematics and Statistics
[2] Hainan Medical University,School of Biomedical Information and Engineering
[3] Luoyang Normal University,Department of Mathematics
来源
The Ramanujan Journal | 2023年 / 60卷
关键词
Jacobi’s triple product identity; Rogers–Ramanujan identities; Mock theta functions; 11F03; 11B65; 11F27;
D O I
暂无
中图分类号
学科分类号
摘要
In terms of Andrews’ series rearrangement method, we establish two generalizations of Jacobi’s triple product identity. Their applications to mock theta functions and Rogers–Ramanujan identities are also discussed.
引用
收藏
页码:925 / 937
页数:12
相关论文
共 50 条
  • [21] Some Theta-Function Identities Related to Jacobi's Triple-Product Identity
    Srivastava, H. M.
    Chaudhary, M. P.
    Chaudhary, Sangeeta
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (01): : 1 - 9
  • [22] On restricted approximation measures of Jacobi’s triple product
    Leena Leinonen
    Marko Leinonen
    The Ramanujan Journal, 2024, 63 : 1 - 12
  • [23] On restricted approximation measures of Jacobi's triple product
    Leinonen, Leena
    Leinonen, Marko
    RAMANUJAN JOURNAL, 2023, 63 (1): : 1 - 12
  • [24] Use the Jacobi Triple Product
    Gromeko, Alexandr
    AMERICAN MATHEMATICAL MONTHLY, 2015, 122 (09): : 903 - 904
  • [25] New series representations for Jacobi's triple product identity and more via the q-Markov method
    Apagodu, Moa
    ADVANCES IN APPLIED MATHEMATICS, 2012, 48 (01) : 25 - 36
  • [26] An Application of the Jacobi Triple Product Proposal
    Andrews, George E.
    Merca, Mircea
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (08): : 772 - 772
  • [27] An Application of the Jacobi Triple Product Solution
    Sarma, Rishabh
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (08): : 773 - 774
  • [28] Use the Jacobi Triple Product Solution
    Ma, Xinrong
    AMERICAN MATHEMATICAL MONTHLY, 2015, 122 (09): : 904 - 904
  • [29] Truncated Jacobi triple product series
    Wang, Chun
    Yee, Ae Ja
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 166 : 382 - 392
  • [30] A truncated Jacobi triple product theorem
    Yee, Ae Ja
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2015, 130 : 1 - 14