A semi-finite form of the quintuple product identity

被引:1
|
作者
Zhu, Jun-Ming [1 ]
Zhang, Zhi-Zheng [1 ]
机构
[1] Luoyang Normal Univ, Dept Math, Luoyang City 471934, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
Quintuple product identity; Semi-finite form; q-Dixon formula; q-Series;
D O I
10.1016/j.jcta.2021.105509
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The quintuple product identity is deduced from the q-Dixon formula. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数:3
相关论文
共 7 条
  • [1] [Anonymous], 2004, ENCY MATH ITS APPL
  • [2] Semi-finite forms of bilateral basic hypergeometric series
    Chen, WYC
    Fu, AM
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (06) : 1719 - 1725
  • [3] The quintuple product identity
    Cooper, Shaun
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2006, 2 (01) : 115 - 161
  • [4] Fricke R., 1916, ELLIPTISCHEN FUNKTIO
  • [5] Ramanujan S., 1988, The lost notebook and other unpublished papers
  • [6] Watson GN., 1929, J. Lond. Math. Soc, V4, P39, DOI [10.1112/jlms/s1-4.1.39, DOI 10.1112/JLMS/S1-4.1.39]
  • [7] A Semi-Finite Proof of Jacobi's Triple Product Identity
    Zhu, Jun-Ming
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2015, 122 (10): : 1008 - 1009