Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind

被引:0
|
作者
Taekyun Kim [1 ]
Dae San Kim [2 ]
机构
[1] Department of Mathematics, Kwangwoon University
[2] Department of Mathematics, Sogang University
关键词
generalized Pascal functional matrix; Wronskian matrix; degenerate Bernoulli polynomial; Krobov polynomial of the first kind;
D O I
暂无
中图分类号
O174.14 [多项式理论];
学科分类号
摘要
In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices. Then we apply twelve basic identities for Sheffer polynomials, seven from previous results, to degenerate Bernoulli polynomials and Korobov polynomials of the first kind and get some new identities. In addition, letting λ→ 0 in such identities gives us those for Bernoulli polynomials and Bernoulli polynomials of the second kind.
引用
收藏
页码:999 / 1028
页数:30
相关论文
共 50 条
  • [1] Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
    Taekyun Kim
    Dae San Kim
    Science China Mathematics, 2019, 62 : 999 - 1028
  • [2] Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
    Kim, Taekyun
    Kim, Dae San
    SCIENCE CHINA-MATHEMATICS, 2019, 62 (05) : 999 - 1028
  • [3] Korobov polynomials of the first kind
    Dolgy, D. V.
    Kim, D. S.
    Kim, T.
    SBORNIK MATHEMATICS, 2017, 208 (01) : 60 - 74
  • [4] Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind
    Kim, Taekyun
    Jang, Lee-Chae
    Kim, Dae San
    Kim, Han-Young
    SYMMETRY-BASEL, 2020, 12 (04):
  • [5] Probabilistic identities involving fully degenerate Bernoulli polynomials and degenerate Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Jongkyum
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2025, 33 (01):
  • [6] Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials
    Lee, Jeong Gon
    Kim, Wonjoo
    Jang, Lee-Chae
    SYMMETRY-BASEL, 2019, 11 (05):
  • [7] Some relations on the degenerate Korobov polynomials and poly-Korobov polynomials
    Kurt, Burak
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (02): : 628 - 638
  • [8] Symmetric identities for degenerate generalized Bernoulli polynomials
    Kim, Taekyun
    Dolgy, Dmitry V.
    Kim, Dae San
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 677 - 683
  • [9] Some Identities Relating to Degenerate Bernoulli Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    FILOMAT, 2016, 30 (04) : 905 - 912
  • [10] Symmetric Identities on Modified Degenerate Bernoulli Polynomials
    Su, Qi-Peng
    Pan, Hao
    JOURNAL OF INTEGER SEQUENCES, 2024, 27 (05)