Symmetric identities for Carlitz’s q-Bernoulli numbers and polynomials

被引:0
|
作者
Yuan He
机构
[1] Kunming University of Science and Technology,Faculty of Science
关键词
Bernoulli numbers and polynomials; -Bernoulli numbers and polynomials; combinatorial identities;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a further investigation for the Carlitz’s q-Bernoulli numbers and q-Bernoulli polynomials is performed, and several symmetric identities for these numbers and polynomials are established by applying elementary methods and techniques. It turns out that various known results are derived as special cases.
引用
收藏
相关论文
共 50 条
  • [41] IDENTITIES OF SYMMETRY FOR TYPE 2 q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP S3
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitriy, V
    Pyo, Sung-Soo
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) : 1973 - 1979
  • [42] Symmetry identities of q-Bernoulli polynomials of the second kind
    Dae San Kim
    Taekyun Kim
    Indian Journal of Pure and Applied Mathematics, 2015, 46 : 85 - 90
  • [43] Some identities of type 2 q-Bernoulli polynomials
    Sang Jo Yun
    Jin-Woo Park
    Journal of Inequalities and Applications, 2020
  • [44] SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-BERNOULLI NUMBERS AND POLYNOMIALS
    Jung, N. S.
    Ryoo, C. S.
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (1-2): : 29 - 38
  • [45] SYMMETRY IDENTITIES OF q-BERNOULLI POLYNOMIALS OF THE SECOND KIND
    Kim, Dae San
    Kim, Taekyun
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (01): : 85 - 90
  • [46] Identities Involving q-Bernoulli and q-Euler Numbers
    Kim, D. S.
    Kim, T.
    Choi, J.
    Kim, Y. H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [47] SOME IDENTITIES OF SYMMETRY FOR q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE n
    Kim, Dae San
    Kim, Taekyun
    ARS COMBINATORIA, 2016, 126 : 435 - 441
  • [48] A NOTE ON q-BERNOULLI NUMBERS AND q-BERNSTEIN POLYNOMIALS
    Kim, Taekyun
    Ryoo, Cheon Seoung
    Yi, Heungsu
    ARS COMBINATORIA, 2012, 104 : 437 - 447
  • [49] A NOTE ON THE q-BERNOULLI NUMBERS AND q-BERNSTEIN POLYNOMIALS
    Park, Jin-Woo
    Pak, Hong Kyung
    Rim, Seog-Hoon
    Kim, Taekyun
    Lee, Sang-Hun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (04) : 722 - 729
  • [50] A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α
    Kim, T.
    Dolgy, D. V.
    Lee, S. H.
    Lee, B.
    Rim, S. H.
    ABSTRACT AND APPLIED ANALYSIS, 2011,