Some formulas for the Bernoulli and Euler polynomials at rational arguments

被引：171
|
作者：
Srivastava, HM [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2000年 / 129卷
关键词：
D O I：
10.1017/S0305004100004412
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a recent paper [5], the classical Bernoulli and Euler polynomials were expressed as finite sums involving the Hurwitz zeta function. The object of this sequel is first to give several remarkably shorter proofs of each of these summation formulas. Various generalizations and analogues, which are relevant to the present investigation, are also considered.
引用
收藏
页码：77 / 84
页数：8
相关论文
共 50 条
  • [41] Probabilistic Bernoulli and Euler Polynomials
    Kim, T.
    Kim, D. S.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2024, 31 (01) : 94 - 105
  • [42] Formulas for Bernoulli Numbers and Polynomials
    Abel, Ulrich
    Alzer, Horst
    RESULTS IN MATHEMATICS, 2024, 79 (07)
  • [43] The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order
    Luo, Qiu-Ming
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (05) : 377 - 391
  • [44] Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials
    Khan, Waseem A.
    Haroon, Hiba
    SPRINGERPLUS, 2016, 5
  • [45] Some new formulas for the products of the Frobenius-Euler polynomials
    Dan-Dan Su
    Yuan He
    Advances in Difference Equations, 2017
  • [46] Some new formulas for the products of the Frobenius-Euler polynomials
    Su, Dan-Dan
    He, Yuan
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [47] Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
    Wang, Weiping
    Jia, Cangzhi
    Wang, Tianming
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (06) : 1322 - 1332
  • [48] Some results for the q-Bernoulli and q-Euler polynomials
    Luo, Qiu-Ming
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) : 7 - 18
  • [49] q-EXTENSIONS OF SOME RELATIONSHIPS BETWEEN THE BERNOULLI AND EULER POLYNOMIALS
    Luo, Qiu-Ming
    Srivastava, H. M.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 241 - 257
  • [50] Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials
    H. Belbachir
    S. Hadj-Brahim
    Y. Otmani
    M. Rachidi
    Indian Journal of Pure and Applied Mathematics, 2022, 53 : 425 - 442
12345