Some Identities Relating to Degenerate Bernoulli Polynomials

被引：10
|
作者：
Kim, Taekyun [1 ]
Kim, Dae San [2 ]
Kwon, Hyuck-In [1 ]
机构：
[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[2] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源：
FILOMAT | 2016年 / 30卷 / 04期
关键词：
Degenerate Bernoulli numbers and polynomials; EULER POLYNOMIALS; NUMBERS;
D O I：
10.2298/FIL1604905K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Carlitz degenerate Bernoulli numbers and polynomials have been studied by several authors (see [3, 4]). In this paper, we consider new degenerate Bernoulli numbers and polynomials, different from Carlitz degenerate Bernoulli numbers and polynomials, and give some formulae and identities related to these numbers and polynomials.
引用
收藏
页码：905 / 912
页数：8
相关论文
共 50 条
  • [1] Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials
    Lee, Jeong Gon
    Kim, Wonjoo
    Jang, Lee-Chae
    [J]. SYMMETRY-BASEL, 2019, 11 (05):
  • [2] Some Identities of Ordinary and Degenerate Bernoulli Numbers and Polynomials
    Dolgy, Dmitry, V
    Kim, Dae San
    Kwon, Jongkyum
    Kim, Taekyun
    [J]. SYMMETRY-BASEL, 2019, 11 (07):
  • [3] Some Identities of Carlitz Degenerate Bernoulli Numbers and Polynomials
    Taekyun Kim
    Dae San Kim
    Hyuck-In Kwon
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 749 - 753
  • [4] Some Identities of Carlitz Degenerate Bernoulli Numbers and Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A3): : 749 - 753
  • [5] Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind
    Kim, Taekyun
    Jang, Lee-Chae
    Kim, Dae San
    Kim, Han-Young
    [J]. SYMMETRY-BASEL, 2020, 12 (04):
  • [6] Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials
    H. Belbachir
    S. Hadj-Brahim
    Y. Otmani
    M. Rachidi
    [J]. Indian Journal of Pure and Applied Mathematics, 2022, 53 : 425 - 442
  • [7] Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials
    Belbachir, H.
    Hadj-Brahim, S.
    Otmani, Y.
    Rachidi, M.
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (02): : 425 - 442
  • [8] Symmetric identities for degenerate generalized Bernoulli polynomials
    Kim, Taekyun
    Dolgy, Dmitry V.
    Kim, Dae San
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 677 - 683
  • [9] Symmetric Identities on Modified Degenerate Bernoulli Polynomials
    Su, Qi-Peng
    Pan, Hao
    [J]. JOURNAL OF INTEGER SEQUENCES, 2024, 27 (05)
  • [10] Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
    Taekyun Kim
    Dae San Kim
    [J]. Science China Mathematics, 2019, 62 : 999 - 1028
12345