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
  • [1] Some identities for the product of two Bernoulli and Euler polynomials
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    Kim, Young-Hee
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [2] Some identities for Bernoulli and Euler polynomials
    Wu, KJ
    Sun, ZW
    Pan, H
    FIBONACCI QUARTERLY, 2004, 42 (04): : 295 - 299
  • [3] Some Formulae for the Product of Two Bernoulli and Euler Polynomials
    Kim, D. S.
    Dolgy, D. V.
    Kim, T.
    Rim, S. -H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [4] Some Identities for Euler and Bernoulli Polynomials and Their Zeros
    Kim, Taekyun
    Ryoo, Cheon Seoung
    AXIOMS, 2018, 7 (03)
  • [5] SOME NEW IDENTITIES ON THE TWISTED BERNOULLI AND EULER POLYNOMIALS
    Dolgy, Dmitry V.
    Kim, Taekyun
    Lee, Byungje
    Lee, Sang-Hun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 441 - 451
  • [6] ON THE IDENTITIES FOR THE BERNOULLI AND EULER POLYNOMIALS
    Kim, D. S.
    Kim, T.
    Lee, S. H.
    Lee, B.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 413 - 423
  • [7] Some Identities and Recurrence Relations on the Two Variables Bernoulli, Euler and Genocchi Polynomials
    Kurt, Veli
    Kurt, Burak
    FILOMAT, 2016, 30 (07) : 1757 - 1765
  • [8] Some identities related to degenerate Bernoulli and degenerate Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Wonjoo
    Kwon, Jongkyum
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2024, 30 (01) : 882 - 897
  • [9] Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers
    Kim, Dae San
    Kim, Taekyun
    Dolgy, Dmitry V.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [10] On identities involving Bernoulli and Euler polynomials
    Chang, CH
    Ha, CW
    FIBONACCI QUARTERLY, 2006, 44 (01): : 39 - 45
12345