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
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
  • [41] RATIONAL-FUNCTION CERTIFICATION OF MULTISUM INTEGRAL Q IDENTITIES
    WILF, HS
    ZEILBERGER, D
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) : 148 - 153
  • [42] A STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS
    Duran, Ugur
    Acikgoz, Mehmet
    Araci, Serkan
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 11 (01): : 57 - 71
  • [43] SOME IDENTITIES OF HIGHER ORDER GENOCHI POLYNOMIALS ARISING FROM HIGHER ORDER GENOCCHI BASIS
    Kang, Dongjin
    Jeong, Joo-Hee
    Lee, Bong Ju
    Rim, Seog-Hoon
    Choi, Sun Hee
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (01) : 141 - 146
  • [44] Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
    Khan, Subuhi
    Ali, Hassan
    Fadel, Mohammed
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2025, 33 (01):
  • [45] Some equalities and binomial sums about the generalized Fibonacci number un
    Ulutas, Yucel Turker
    Toy, Derya
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2022, 28 (02) : 252 - 260
  • [46] Eisenstein series and their applications to some arithmetic identities and congruences
    Kim, Daeyeoul
    Kim, Aeran
    Sankaranarayanan, Ayyadurai
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [47] SOME IDENTITIES OF BARNES-TYPE GENOCCHI POLYNOMIALS
    Lim, Dongkyu
    ARS COMBINATORIA, 2016, 125 : 299 - 311
  • [48] Some identities and congruences concerning Euler numbers and polynomials
    Maiga, Hamadoun
    JOURNAL OF NUMBER THEORY, 2010, 130 (07) : 1590 - 1601
  • [49] Some convolution identities for Frobenius-Euler polynomials
    Pan, Jing
    Yang, Fengzao
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [50] Some identities and congruences for Stirling numbers of the second kind
    Maiga, Hamadoun
    Tangara, Fana
    ADVANCES IN ULTRAMETRIC ANALYSIS, 2013, 596 : 149 - 162