A triple product identity for the three-parameter cubic theta function

被引：0
|
作者：
Bhargava, S [1 ]
Anitha, N [1 ]
机构：
[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2005年 / 36卷 / 09期
关键词：
theta functions; cubic theta functions; elliptic functions; q-series;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish in a simple self contained manner a triple product identity for the cubic theta function a(q,zeta z)= (m=-infinity)Sigma(infinity) (n=-infinity)Sigma(infinity) (qm2+mn+n2 zeta n+mzn-m) We also determine on our way a two-parameter family of zeros of a (q, zeta z).
引用
收藏
页码：471 / 477
页数：7
相关论文
共 50 条
  • [31] Three-Parameter Electric Dipole Moment Function for the CO Molecule
    Spirko, Vladimir
    JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2024, 20 (11) : 4711 - 4717
  • [32] Interpretation of the Three-Parameter Testlet Response Model and Information Function
    Ip, Edward H.
    APPLIED PSYCHOLOGICAL MEASUREMENT, 2010, 34 (07) : 467 - 482
  • [33] ON A GENERALIZED THREE-PARAMETER WRIGHT FUNCTION OF LE ROY TYPE
    Garrappa, Roberto
    Rogosin, Sergei
    Mainardi, Francesco
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (05) : 1196 - 1215
  • [34] A model of molecular fluids: A three-parameter direct correlation function
    Rickayzen, G
    Calleja, M
    MOLECULAR PHYSICS, 1997, 90 (05) : 869 - 873
  • [35] On a generalized three-parameter wright function of Le Roy type
    Roberto Garrappa
    Sergei Rogosin
    Francesco Mainardi
    Fractional Calculus and Applied Analysis, 2017, 20 : 1196 - 1215
  • [36] CUBIC AND QUINTIC ANALOGUES OF RAMANUJAN’S SEPTIC THETA FUNCTION IDENTITY
    Berndt, Bruce C.
    Rebák, Örs
    arXiv, 2023,
  • [37] A three-parameter flood damage function, part Ⅱ. Case study
    Li C.
    Cheng X.
    Wang Y.
    Fu D.
    Shuili Xuebao/Journal of Hydraulic Engineering, 2020, 51 (05): : 519 - 526
  • [38] A three-parameter flood damage function, part Ⅰ. Theory and development
    Li C.
    Cheng X.
    Wang Y.
    Fu D.
    Shuili Xuebao/Journal of Hydraulic Engineering, 2020, 51 (03): : 349 - 357
  • [39] Cubic and quintic analogues of Ramanujan's septic theta function identity
    Berndt, Bruce C.
    Rebak, Ors
    RAMANUJAN JOURNAL, 2025, 66 (04):
  • [40] A THREE-PARAMETER BINOMIAL APPROXIMATION
    Pekoz, Erol A.
    Rollin, Adrian
    Cekanavicius, Vydas
    Shwartz, Michael
    JOURNAL OF APPLIED PROBABILITY, 2009, 46 (04) : 1073 - 1085
12345