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
  • [41] Fully degenerate Bernoulli numbers and polynomials
    Kim, Taekyun
    Kim, Dae San
    Park, Jin-Woo
    DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 604 - 614
  • [42] Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
    Min-Soo Kim
    Taekyun Kim
    Byungje Lee
    Cheon-Seoung Ryoo
    Advances in Difference Equations, 2010
  • [43] ON DEGENERATE q-BERNOULLI POLYNOMIALS
    Kim, Taekyun
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (04) : 1149 - 1156
  • [44] Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable
    Muhiuddin, G.
    Khan, W. A.
    Duran, U.
    Al-Kadi, D.
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [45] Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [46] Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
    Kim, Min-Soo
    Kim, Taekyun
    Lee, Byungje
    Ryoo, Cheon-Seoung
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [47] CLOSED FORMS FOR DEGENERATE BERNOULLI POLYNOMIALS
    Dai, Lei
    Pan, Hao
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (02) : 207 - 217
  • [48] Hypergeometric degenerate Bernoulli polynomials and numbers
    Komatsu, Takao
    ARS MATHEMATICA CONTEMPORANEA, 2020, 18 (01) : 163 - 177
  • [49] Convolution identities for Bernoulli and Genocchi polynomials
    Agoh, Takashi
    ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (01):
  • [50] On identities involving Bernoulli and Euler polynomials
    Chang, CH
    Ha, CW
    FIBONACCI QUARTERLY, 2006, 44 (01): : 39 - 45