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
  • [41] A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi's Triple-Product Identity
    Srivastava, Hari Mohan
    Srivastava, Rekha
    Chaudhary, Mahendra Pal
    Uddin, Salah
    MATHEMATICS, 2020, 8 (06)
  • [42] Wreath product generalizations of the triple (S2n, Hn, φ) and their spherical functions
    Mizukawa, Hiroshi
    JOURNAL OF ALGEBRA, 2011, 334 (01) : 31 - 53
  • [43] Generalizations of two infinite product formulas
    Chen, Chao-Ping
    Paris, Richard B.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (07) : 547 - 551
  • [44] Two generalizations of the nonabelian tensor product
    Ladra, M.
    Thomas, V. Z.
    JOURNAL OF ALGEBRA, 2012, 369 : 96 - 113
  • [45] Product blocking measures and a particle system proof of the Jacobi triple product
    Balazs, Marton
    Bowen, Ross
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2018, 54 (01): : 514 - 528
  • [46] GENERALIZATIONS OF HERMITE'S IDENTITY AND APPLICATIONS (vol 57, pg 126, 2019)
    Aursukaree, Saralee
    Khemaratchatakumthorn, Tammatada
    Pongsriiam, Prapanpong
    FIBONACCI QUARTERLY, 2020, 58 (01): : 80 - 80
  • [47] Powers of Jacobi triple product, Cohen's numbers and the Ramanujan Delta-function
    Gritsenko, Valery
    Wang, Haowu
    EUROPEAN JOURNAL OF MATHEMATICS, 2018, 4 (02) : 561 - 584
  • [48] Relations between Rα, Rβ and Rm functions related to Jacobi's triple-product identity and the family of theta-function identities
    Chaudhary, M. P.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (02) : 1 - 11
  • [49] Lagrange's identity and its generalizations
    Kozlov, V. V.
    REGULAR & CHAOTIC DYNAMICS, 2008, 13 (02): : 71 - 80
  • [50] Lagrange’s identity and its generalizations
    V. V. Kozlov
    Regular and Chaotic Dynamics, 2008, 13 : 71 - 80