THE q-BINOMIAL THEOREM AND ROGERS-RAMANUJAN IDENTITIES

被引：0
作者：
Chu, Wenchang [1 ]
Zhang, Wenlong [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
UTILITAS MATHEMATICA | 2011年 / 84卷
关键词：
The q-binomial theorem; Rogers-Ramanujan identities; BASIC HYPERGEOMETRIC-SERIES; MOCK THETA FUNCTIONS; COMBINATORY ANALYSIS; LATTICE PATHS; PARTITIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The q-binomial theorem and the related convolution formulae are employed to present elementary proofs for seventeen identities of Rogers-Ramanujan type, including one that appears in Ramanujan's Lost Notebook and three new identities.
引用
收藏
页码：173 / 188
页数：16
相关论文
共 50 条
  • [11] ON COMBINATORIAL EXTENSIONS OF ROGERS-RAMANUJAN TYPE IDENTITIES
    Goyal, Megha
    CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2017, 12 (02) : 33 - 51
  • [12] New proofs of the septic Rogers-Ramanujan identities
    Rosengren, Hjalmar
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2025, 21 (02) : 437 - 448
  • [13] New finite Rogers-Ramanujan identities
    Victor J. W. Guo
    Frédéric Jouhet
    Jiang Zeng
    The Ramanujan Journal, 2009, 19 : 247 - 266
  • [14] Arc spaces and the Rogers-Ramanujan identities
    Bruschek, Clemens
    Mourtada, Hussein
    Schepers, Jan
    RAMANUJAN JOURNAL, 2013, 30 (01) : 9 - 38
  • [15] A graphic illustration of Rogers-Ramanujan identities
    Nambiar, KK
    APPLIED MATHEMATICS LETTERS, 1996, 9 (05) : 11 - 15
  • [16] New finite Rogers-Ramanujan identities
    Guo, Victor J. W.
    Jouhet, Frederic
    Zeng, Jiang
    RAMANUJAN JOURNAL, 2009, 19 (03) : 247 - 266
  • [17] Engel expansions and the Rogers-Ramanujan identities
    Andrews, GE
    Knopfmacher, A
    Knopfmacher, J
    JOURNAL OF NUMBER THEORY, 2000, 80 (02) : 273 - 290
  • [18] Pseudo q-Engel expansions and Rogers-Ramanujan type identities
    Prodinger, Helmut
    QUAESTIONES MATHEMATICAE, 2012, 35 (01) : 23 - 33
  • [19] ON A GENERALIZED BASIC SERIES AND ROGERS-RAMANUJAN TYPE IDENTITIES
    Sonik, P.
    Ranganatha, D.
    Goyal, M.
    CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2023, 18 (01) : 15 - 28
  • [20] Bressoud polynomials, Rogers-Ramanujan type identities, and applications
    Andrews, George E.
    RAMANUJAN JOURNAL, 2016, 41 (1-3) : 287 - 304
12345