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
  • [41] Some basic hypergeometric transformations and Rogers-Ramanujan type identities
    Wang, Chun
    Chern, Shane
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (11) : 873 - 890
  • [42] Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
    Raum, Martin
    FORUM MATHEMATICUM, 2023, 35 (03) : 615 - 646
  • [43] Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums
    Kim, Byungchan
    Lovejoy, Jeremy
    RAMANUJAN JOURNAL, 2018, 46 (03): : 743 - 764
  • [44] Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums
    Byungchan Kim
    Jeremy Lovejoy
    The Ramanujan Journal, 2018, 46 : 743 - 764
  • [45] On Ramanujan-type congruences for multiplicative functions
    Craig, William
    Merca, Mircea
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (03)
  • [46] Golden Ratio and a Ramanujan-Type Integral
    Chan, Hei-Chi
    AXIOMS, 2013, 2 (01): : 58 - 66
  • [47] Some more identities of the Rogers-Ramanujan type
    Douglas Bowman
    James Mc Laughlin
    Andrew V. Sills
    The Ramanujan Journal, 2009, 18 : 307 - 325
  • [48] On Ramanujan-type congruences for multiplicative functions
    William Craig
    Mircea Merca
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [49] Some more identities of the Rogers-Ramanujan type
    Bowman, Douglas
    Mc Laughlin, James
    Sills, Andrew V.
    RAMANUJAN JOURNAL, 2009, 18 (03): : 307 - 325
  • [50] ON RAMANUJAN-TYPE CONGRUENCES FOR MULTIPLICATIVE FUNCTIONS
    Craig, William I.V.
    Merca, Mircea
    arXiv, 2021,
12345