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
来源：
Advances in Difference Equations | / 2013卷
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
  • [31] A Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials
    Jang, L. -C.
    Yi, H.
    Shivashankara, K.
    Kim, T.
    Kim, Y. H.
    Lee, B.
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [32] A New Approach to q-Bernoulli Numbers and q-Bernoulli Polynomials Related to q-Bernstein Polynomials
    Acikgoz, Mehmet
    Erdal, Dilek
    Araci, Serkan
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [33] Some Identities of Carlitz Degenerate Bernoulli Numbers and Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A3): : 749 - 753
  • [34] Some Identities of Carlitz Degenerate Bernoulli Numbers and Polynomials
    Taekyun Kim
    Dae San Kim
    Hyuck-In Kwon
    Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 749 - 753
  • [35] 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
  • [36] A NOTE ON CARLITZ'S q-BERNOULLI MEASURE
    Kim, Taekyun
    Kim, Young-Hee
    Lee, Byungje
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (03) : 590 - 595
  • [37] A STUDY ON DEGENERATE q-BERNOULLI POLYNOMIALS AND NUMBERS
    Lee, Hui Young
    Yu, Chung Hyun
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (06): : 1303 - 1315
  • [38] Some Identities on the Generalized q-Bernoulli Numbers and Polynomials Associated with q-Volkenborn Integrals
    Kim, T.
    Choi, J.
    Lee, B.
    Ryoo, C. S.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [39] Some identities of type 2 q-Bernoulli polynomials
    Yun, Sang Jo
    Park, Jin-Woo
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [40] IDENTITIES OF SYMMETRY FOR THE HIGHER ORDER q-BERNOULLI POLYNOMIALS
    Son, Jin-Woo
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (05) : 1045 - 1073
12345