A Note on Continued Fractions and Mock Theta Functions

被引:0
|
作者
Srivastava, Pankaj [1 ]
Gupta, Priya [1 ]
机构
[1] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56卷 / 01期
关键词
Mock theta functions; Basic hypergeometric function; Continued fraction;
D O I
10.5666/KMJ.2016.56.1.173
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.
引用
收藏
页码:173 / 184
页数:12
相关论文
共 50 条
  • [41] GENERALIZATIONS OF MOCK THETA FUNCTIONS AND RADIAL LIMITS
    Cui, Su-Ping
    Gu, Nancy S. S.
    Su, Chen-Yang
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (08) : 3317 - 3329
  • [42] ON CERTAIN EXPLICIT CONGRUENCES FOR MOCK THETA FUNCTIONS
    Waldherr, Matthias
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (03) : 865 - 879
  • [43] Symmetric relations related to mock theta functions
    Wang, Chun
    RAMANUJAN JOURNAL, 2025, 66 (04):
  • [44] Mock (false) theta functions as quantum invariants
    Hikami, K
    REGULAR & CHAOTIC DYNAMICS, 2005, 10 (04): : 509 - 530
  • [45] Three-parameter mock theta functions
    Cui, Su-Ping
    Gu, Nancy S. S.
    Hou, Qing -Hu
    Su, Chen-Yang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (02)
  • [46] Third-order mock theta functions
    Hu, Qiuxia
    Song, Hanfei
    Zhang, Zhizheng
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2020, 16 (01) : 91 - 106
  • [47] On certain Ramanujan's mock theta functions
    Gupta, Anju
    Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 1993, 103 (03):
  • [48] MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
    Folsom, Amanda
    Ono, Ken
    Rhoades, Robert C.
    FORUM OF MATHEMATICS PI, 2013, 1
  • [49] The H and K Family of Mock Theta Functions
    McIntosh, Richard J.
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2012, 64 (04): : 935 - 960
  • [50] Unclosed asymptotic expansions and mock theta functions
    Richard J. Mcintosh
    The Ramanujan Journal, 2009, 19 : 183 - 186