Some identities for the product of two Bernoulli and Euler polynomials

被引：0
|
作者：
Dae San Kim
Taekyun Kim
Sang-Hun Lee
Young-Hee Kim
机构：
[1] Sogang University,Department of Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] Kwangwoon University,Division of General Education
来源：
Advances in Difference Equations | / 2012卷
关键词：
Differential Equation; Positive Integer; Linear Combination; Partial Differential Equation; Ordinary Differential Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let ℙn be the space of polynomials of degree less than or equal to n. In this article, using the Bernoulli basis {B0(x), . . . , Bn(x)} for ℙn consisting of Bernoulli polynomials, we investigate some new and interesting identities and formulae for the product of two Bernoulli and Euler polynomials like Carlitz did.
引用
收藏
相关论文
共 50 条
  • [31] Identities of Symmetry for Type 2 Bernoulli and Euler Polynomials
    Kim, Dae San
    Kim, Han Young
    Kim, Dojin
    Kim, Taekyun
    SYMMETRY-BASEL, 2019, 11 (05):
  • [32] Several new identities involving Euler and Bernoulli polynomials
    Wang Xiaoying
    Zhang Wenpeng
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2016, 59 (01): : 101 - 108
  • [33] Bernoulli and Euler Polynomials in Two Variables
    Pita-Ruiz, Claudio
    KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (01): : 133 - 159
  • [34] Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
    Dae San Kim
    Taekyun Kim
    Dmitry V Dolgy
    Seog-Hoon Rim
    Advances in Difference Equations, 2013
  • [35] Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials
    Kurt, Veli
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1397 - 1404
  • [36] Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
    Kim, Dae San
    Kim, Taekyun
    Dolgy, Dmitry V.
    Rim, Seog-Hoon
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [37] SOME IDENTITIES FOR BERNOULLI POLYNOMIALS INVOLVING CHEBYSHEV POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (01) : 172 - 180
  • [38] Some Symmetry Identities for the Euler Polynomials
    Sheng Liang YANG Zhan Ke QIAO Department of Applied MathematicsLanzhou University of TechnologyGansu PRChinaDepartment of MathematicsSuzhou University of Science and TechnologyJiangsu PRChina
    数学研究与评论, 2010, 30 (03) : 457 - 464
  • [39] Some New Identities on the Bernoulli and Euler Numbers
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    Dolgy, D. V.
    Rim, Seog-Hoon
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [40] SOME IDENTITIES OF BOOLE AND EULER POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    ARS COMBINATORIA, 2015, 118 : 349 - 356
12345