Some identities from the q-binomial transform

被引：0
|
作者：
Wang, Weiping [1 ]
Liu, Hongmei [2 ]
机构：
[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Peoples R China
[2] Dalian Nationalities Univ, Sch Sci, Dalian 116600, Peoples R China
来源：
UTILITAS MATHEMATICA | 2012年 / 88卷
基金：
中国国家自然科学基金;
关键词：
Identities; q-binomial transform; q-generalized Seidel matrix; q-dual sequences; RECURRENCE FORMULA; BERNOULLI; SEQUENCES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using the properties of the q-generalized Seidel matrix, we establish general identities involving the sequence (a(n))n is an element of N and its q-binomial transform (b(n))n is an element of N. As applications, various identities are deduced, especially some related to the q-dual sequences, the q-Bernoulli polynomials and the q-Stirling numbers of the second kind. It can be found that many known results are special cases of ours.
引用
收藏
页码：91 / 106
页数：16
相关论文
共 50 条
  • [31] Congruences on sums of q-binomial coefficients
    Liu, Ji-Cai
    Petrov, Fedor
    ADVANCES IN APPLIED MATHEMATICS, 2020, 116 (116)
  • [32] Perfect powers in q-binomial coefficients
    Luca, Florian
    ACTA ARITHMETICA, 2012, 151 (03) : 279 - 292
  • [33] THE Q-LOG-CONCAVITY OF Q-BINOMIAL COEFFICIENTS
    BUTLER, LM
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1990, 54 (01) : 54 - 63
  • [34] An overpartition analogue of the q-binomial coefficients
    Jehanne Dousse
    Byungchan Kim
    The Ramanujan Journal, 2017, 42 : 267 - 283
  • [35] Some congruences involving fourth powers of central q-binomial coefficients
    Guo, Victor J. W.
    Wang Su-Dan
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2020, 150 (03) : 1127 - 1138
  • [36] The q-binomial theorem and two symmetric q-identities -: art. no. R34
    Guo, VJW
    ELECTRONIC JOURNAL OF COMBINATORICS, 2003, 10 (01):
  • [37] TWO TRANSFORMATIONS FOR A Q-BINOMIAL SUM
    Wang, Xiaoyuan
    Wang, Chenying
    UTILITAS MATHEMATICA, 2014, 93 : 333 - 341
  • [38] Strict unimodality of q-binomial coefficients
    Pak, Igor
    Panova, Greta
    COMPTES RENDUS MATHEMATIQUE, 2013, 351 (11-12) : 415 - 418
  • [39] THE ABSORPTION DISTRIBUTION AND THE Q-BINOMIAL THEOREM
    DUNKL, CF
    COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1981, 10 (19): : 1915 - 1920
  • [40] ON THE CIRCULANT MATRICES WITH THE q-BINOMIAL COEFFICIENTS
    Dalkilic, Seyda
    Kocer, E. Gokcen
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2018, 19 (03): : 309 - 319
12345