A note on a continued fraction of Ramanujan

被引:4
|
作者
Adiga, C [1 ]
Anitha, N [1 ]
机构
[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India
关键词
D O I
10.1017/S0004972700034742
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive several identities involving the Ramanujan continued fraction c(q), including relations between c(q) and c(q(n)). We also obtain explicit evaluations of c(e(-pirootn)) for various positive integers n.
引用
收藏
页码:489 / 497
页数:9
相关论文
共 50 条
  • [21] SOME IDENTITIES CONNECTED WITH A CONTINUED FRACTION OF RAMANUJAN
    Srivastava, Bhaskar
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03): : 829 - 838
  • [22] Modular curves and Ramanujan's continued fraction
    Cais, Bryden
    Conrad, Brian
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 597 : 27 - 104
  • [23] Dynamics of a continued fraction of Ramanujan with random coefficients
    Borwein, Jonathan M.
    Luke, D. Russell
    ABSTRACT AND APPLIED ANALYSIS, 2005, (05) : 449 - 467
  • [24] SOME RESULTS ON ANALOGOUS CONTINUED FRACTION OF RAMANUJAN
    Srivastava, Bhaskar
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, (28): : 255 - 260
  • [25] On the generalized Rogers-Ramanujan continued fraction
    Berndt, BC
    Yee, AJ
    RAMANUJAN JOURNAL, 2003, 7 (1-3): : 321 - 331
  • [26] On the Rogers--Ramanujan Periodic Continued Fraction
    V. I. Buslaev
    S. F. Buslaeva
    Mathematical Notes, 2003, 74 : 783 - 793
  • [27] On the Rogers-Ramanujan periodic continued fraction
    Buslaev, VI
    Buslaeva, SF
    MATHEMATICAL NOTES, 2003, 74 (5-6) : 783 - 793
  • [28] About the Cover: The Continued Fraction of Rogers–Ramanujan
    Elias Wegert
    Computational Methods and Function Theory, 2019, 19 : 1 - 2
  • [30] A Continued Fraction of Ramanujan and Some Ramanujan-Weber Class Invariants
    Adiga, Chandrashekar
    Bulkhali, Nasser Abdo Saeed
    Simsek, Yilmaz
    Srivastava, H. M.
    FILOMAT, 2017, 31 (13) : 3975 - 3997