ON GENERALIZATIONS OF THEOREMS INVOLVING THE THIRD-ORDER MOCK THETA FUNCTIONS

被引:0
|
作者
Hu, Qiuxia [1 ]
Zhang, Zhizheng [2 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China
基金
中国国家自然科学基金;
关键词
Mock theta functions; transformation of bilateral series;
D O I
10.1090/proc/14691
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a transformation of bilateral series is again studied. Using this transformation, the generalizations of theorems involving some third-order mock theta functions are derived.
引用
收藏
页码:125 / 132
页数:8
相关论文
共 50 条
  • [1] Third-order mock theta functions
    Hu, Qiuxia
    Song, Hanfei
    Zhang, Zhizheng
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2020, 16 (01) : 91 - 106
  • [2] Four identities related to third-order mock theta functions
    Cui, Su-Ping
    Gu, Nancy S. S.
    Su, Chen-Yang
    RAMANUJAN JOURNAL, 2021, 55 (03): : 929 - 941
  • [3] Four identities related to third-order mock theta functions
    Su-Ping Cui
    Nancy S. S. Gu
    Chen-Yang Su
    The Ramanujan Journal, 2021, 55 : 929 - 941
  • [4] PARTITION IDENTITIES FOR RAMANUJAN'S THIRD-ORDER MOCK THETA FUNCTIONS
    Chen, William Y. C.
    Ji, Kathy Q.
    Liu, Eric H.
    QUARTERLY JOURNAL OF MATHEMATICS, 2012, 63 (02): : 353 - 365
  • [5] Generalizations of mock theta functions
    Cui, Su-Ping
    Gu, Nancy S. S.
    Su, Chen-Yang
    Xie, Matthew H. Y.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (09) : 2395 - 2413
  • [6] ON IDENTITIES INVOLVING THE SIXTH ORDER MOCK THETA FUNCTIONS
    Lovejoy, Jeremy
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (07) : 2547 - 2552
  • [7] On Diophantine Approximations of Mock Theta Functions of Third Order
    Tapani Matala-Aho
    Keijo Väänäanen
    The Ramanujan Journal, 2000, 4 : 13 - 28
  • [8] FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
    Andrews, George E.
    Berndt, Bruce C.
    Chan, Song Heng
    Kim, Sun
    Malik, Amita
    NAGOYA MATHEMATICAL JOURNAL, 2020, 239 : 173 - 204
  • [9] On diophantine approximations of mock theta functions of third order
    Matala-Aho, T
    Väänäanen, K
    RAMANUJAN JOURNAL, 2000, 4 (01): : 13 - 28
  • [10] IDENTITIES INVOLVING MOCK THETA FUNCTIONS AND THETA FUNCTIONS
    Song, Hanfei
    Wang, Chun
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (07) : 3009 - 3022