More hypergeometric identities related to Ramanujan-type series

被引:0
|
作者
Jesús Guillera
机构
来源
The Ramanujan Journal | 2013年 / 32卷
关键词
Ramanujan series; Hypergeometric identities; WZ-method; 33C20;
D O I
暂无
中图分类号
学科分类号
摘要
We find new hypergeometric identities which, in a certain aspect, are stronger than others of the same style found by the author in a previous paper. The identities in Sect. 3 are related to some Ramanujan-type series for 1/π. We derive them by using WZ-pairs associated to some interesting formulas by Wenchang Chu. The identities we prove in Sect. 4 are of the same style but related to Ramanujan-like series for 1/π2.
引用
收藏
页码:5 / 22
页数:17
相关论文
共 50 条
  • [1] More hypergeometric identities related to Ramanujan-type series
    Guillera, Jesus
    RAMANUJAN JOURNAL, 2013, 32 (01): : 5 - 22
  • [2] Hypergeometric identities for 10 extended Ramanujan-type series
    Jesús Guillera
    The Ramanujan Journal, 2008, 15 : 219 - 234
  • [3] Hypergeometric identities for 10 extended Ramanujan-type series
    Guillera, Jesus
    RAMANUJAN JOURNAL, 2008, 15 (02): : 219 - 234
  • [4] Two hypergeometric summation theorems and Ramanujan-type series
    Liu, Hongmei
    Qi, Shuhua
    Zhang, You
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2013, 24 (11) : 905 - 910
  • [5] Ramanujan-type identities for Shimura curves
    Yifan Yang
    Israel Journal of Mathematics, 2016, 214 : 699 - 731
  • [6] Ramanujan-type identities for Shimura curves
    Yang, Yifan
    ISRAEL JOURNAL OF MATHEMATICS, 2016, 214 (02) : 699 - 731
  • [7] Finding Modular Functions for Ramanujan-Type Identities
    William Y. C. Chen
    Julia Q. D. Du
    Jack C. D. Zhao
    Annals of Combinatorics, 2019, 23 : 613 - 657
  • [8] Finding Modular Functions for Ramanujan-Type Identities
    Chen, William Y. C.
    Du, Julia Q. D.
    Zhao, Jack C. D.
    ANNALS OF COMBINATORICS, 2019, 23 (3-4) : 613 - 657
  • [9] Ramanujan-type series for 1/π , revisited
    Ye, Dongxi
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (02): : 350 - 368
  • [10] Eisenstein series and Ramanujan-type series for 1/π
    Baruah, Nayandeep Deka
    Berndt, Bruce C.
    RAMANUJAN JOURNAL, 2010, 23 (1-3): : 17 - 44