RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"

被引:88
|
作者
Chan, Hei-Chi [1 ]
机构
[1] Univ Illinois, Dept Math Sci, Springfield, IL 62703 USA
关键词
Ramanujan's cubic continued fraction; Ramanujan's "Most Beautiful Identity; EXPLICIT EVALUATIONS;
D O I
10.1142/S1793042110003150
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove an analog of Ramanujan's "Most Beautiful Identity". This analog is closely related to Ramanujan's beautiful results involving the cubic continued fraction.
引用
收藏
页码:673 / 680
页数:8
相关论文
共 50 条
  • [1] On Ramanujan's cubic continued fraction
    Akkarapakam, Sushmanth J.
    Morton, Patrick
    [J]. RAMANUJAN JOURNAL, 2024,
  • [2] On Ramanujan's cubic continued fraction
    Heng, HC
    [J]. ACTA ARITHMETICA, 1995, 73 (04) : 343 - 355
  • [3] Ramanujan's "Most Beautiful Identity"
    Hirschhorn, Michael D.
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (09): : 839 - 845
  • [4] Ramanujan's cubic continued fraction revisited
    Chan, Heng Huat
    Loo, Kok Ping
    [J]. ACTA ARITHMETICA, 2007, 126 (04) : 305 - 313
  • [6] Some evaluations of Ramanujan's cubic continued fraction
    Bhargava, S
    Vasuki, KR
    Sreeramamurthy, TG
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (08): : 1003 - 1025
  • [7] NEW IDENTITIES FOR RAMANUJAN'S CUBIC CONTINUED FRACTION
    Naika, M. S. Mahadeva
    Chandankumar, S.
    Bairy, K. Sushan
    [J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 46 (01) : 29 - 44
  • [8] ON RAMANUJAN'S CUBIC CONTINUED FRACTION AS A MODULAR FUNCTION
    Cho, Bumkyu
    Koo, Ja Kyung
    Park, Yoon Kyung
    [J]. TOHOKU MATHEMATICAL JOURNAL, 2010, 62 (04) : 579 - 603
  • [9] RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
    Chan, Hei-Chi
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (04) : 819 - 834
  • [10] Relations Between Ramanujan's Cubic Continued Fraction and a Continued Fraction of Order 12 and its Evaluations
    Kumar, Belakavadi Radhakrishna Srivatsa
    Vidya, Harekala Chandrashe-Kara
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2018, 58 (02): : 319 - 332