IDENTITIES OF SYMMETRY FOR TYPE 2 q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP S3

被引：0
|
作者：
Kim, Taekyun [1 ,2 ]
Kim, Dae San [3 ]
Dolgy, Dmitriy, V [2 ,4 ]
Pyo, Sung-Soo [5 ]
机构：
[1] Xian Technol Univ, Sch Sci, Xian 710021, Shaan, Peoples R China
[2] Kwangwoon Univ, Dept Math, Seoul 01897, South Korea
[3] Sogang Univ, Dept Math, Seoul 04107, South Korea
[4] Far Eastern Fed Univ, Inst Math & Comp Sci, Vladivostok 690950, Russia
[5] Silla Univ, Dept Math Educ, Busan 46958, South Korea
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 09期
关键词：
Type 2 q-Bernoulli polynomial; p-adic q-integral; identities of symmetry; symmetric group S-3;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, type 2 q-Bernoulli polynomials were introduced by Kim-Kim-Kim-Kwon. In this paper, we obtain two identities of symmetry which involve the type 2 q- Bernoulli polynomials and are invariant under any permutations in the symmetric group S-3. These are derived from certain p-adic q-integrals on Z which have been fruitfully used in discovering combinatorial and number-theoretic properties and identities about many special numbers and polynomials.
引用
收藏
页码：1973 / 1979
页数：7
相关论文
共 50 条
  • [41] On Symmetric Identities of Carlitz's Type q-Daehee Polynomials
    Kim, Won Joo
    Jang, Lee-Chae
    Kim, Byung Moon
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
  • [42] Identities of Symmetry for Euler Polynomials Arising from Quotients of Fermionic Integrals Invariant under S3
    Kim, Dae San
    Park, Kyoung Ho
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [43] SOME SYMMETRY IDENTITIES FOR THE (h, q)-BERNOULLI POLYNOMIALS UNDER THE THIRD DIHEDRAL GROUP D3 ARISING FROM q-VOLKENBORN INTEGRAL ON Zp
    Rim, S-H.
    Kim, T. G.
    Lee, S. H.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (03) : 432 - 436
  • [44] Some Symmetric Identities for the Higher-Order q-Euler Polynomials Related to Symmetry Group S3 Arising from p-Adic q-Fermionic Integrals on Zp
    Kim, Dae San
    Kim, Taekyun
    FILOMAT, 2016, 30 (07) : 1717 - 1721
  • [45] Some identities of q-Euler polynomials under the symmetric group of degree n
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    Seo, Jong-Jin
    Dolgy, D. V.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1077 - 1082
  • [46] q-Bernstein Polynomials Associated with q-Stirling Numbers and Carlitz's q-Bernoulli Numbers
    Kim, T.
    Choi, J.
    Kim, Y. H.
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [47] Some identities of degenerate q-Euler polynomials under the symmetry group of degree n
    Kim, Taekyun
    Dolgy, D. V.
    Jang, Lee-Chae
    Kwon, Hyuck-In
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4707 - 4712
  • [48] Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
    Lim, Dongkyu
    Qi, Feng
    MATHEMATICS, 2018, 6 (12):
  • [49] Symmetric Identities for Carlitz's Type Higher-Order (p,q)-Genocchi Polynomials
    Kim, Ahyun
    Ryoo, Cheon Seoung
    SYMMETRY-BASEL, 2020, 12 (10): : 1 - 14
  • [50] Carlitz's q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions
    Choi, Junesang
    Anderson, P. J.
    Srivastava, H. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1185 - 1208
12345