Explicit evaluations of Ramanujan-Göllnitz-Gordon continued fraction

被引：0
|
作者：
Nayandeep Deka Baruah
Nipen Saikia
机构：
[1] Tezpur University,
来源：
Monatshefte für Mathematik | 2008年 / 154卷
关键词：
2000 Mathematics Subject Classification: 33D90, 11F20; Key words: Explicit evaluation, continued fraction, parameters.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish several theorems for the explicit evaluations of Ramanujan-Göllnitz-Gordon continued fraction by using some parameterizations of Ramanujan’s theta-functions.
引用
收藏
页码：271 / 288
页数：17
相关论文
共 32 条
  • [1] On the Ramanujan-Göllnitz-Gordon continued fraction
    Chan H.H.
    [J]. The Ramanujan Journal, 1997, 1 (1) : 75 - 90
  • [2] Explicit evaluations of Ramanujan-Gollnitz-Gordon continued fraction
    Baruah, Nayandeep Deka
    Saikia, Nipen
    [J]. MONATSHEFTE FUR MATHEMATIK, 2008, 154 (04): : 271 - 288
  • [3] Some modular relations for the Göllnitz-Gordon functions and Ramanujan’s modular equations
    Ernest X. W. Xia
    Olivia X. M. Yao
    [J]. Indian Journal of Pure and Applied Mathematics, 2014, 45 : 53 - 74
  • [4] Explicit evaluations of the Rogers-Ramanujan continued fraction
    Berndt, BC
    Chan, HH
    Zhang, LC
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1996, 480 : 141 - 159
  • [5] Explicit evaluations of a Ramanujan-Selberg continued fraction
    Zhang, LC
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (01) : 9 - 14
  • [6] General Theorem for Explicit Evaluations and Reciprocity Theorems for Ramanujan-Gollnitz-Gordon Continued Fraction
    Saikia, Nipen
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (04): : 983 - 996
  • [7] Evaluations of a continued fraction of Ramanujan
    Bagis, N. D.
    Glasser, M. L.
    [J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2015, 133 : 1 - 10
  • [8] General Formulas for Explicit Evaluations of Ramanujan's Cubic Continued Fraction
    Naika, Megadahalli Sidda Naika Mahadeva
    Maheshkumar, Mugur Chinna Swamy
    Bairy, Kurady Sushan
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (03): : 435 - 450
  • [9] A new continued fraction of Ramanujan, its modular identities and explicit evaluations
    Saikia N.
    [J]. Afrika Matematika, 2015, 26 (3-4) : 407 - 417
  • [10] Some new proofs of modular relations for the Göllnitz-Gordon functions
    Nayandeep Deka Baruah
    Jonali Bora
    Nipen Saikia
    [J]. The Ramanujan Journal, 2008, 15 : 281 - 301
1234