New identities involving Bernoulli and Euler polynomials

DOI10.1016/j.jcta.2005.07.008zbMath1085.05017arXivmath/0407363OpenAlexW2010126494MaRDI QIDQ817618

Hao Pan, Zhi-Wei Sun

Publication date: 16 March 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407363

zbMATH Keywords

combinatorial identityBernoulli polynomial

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (32)

Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Some new formulas for the products of the Apostol type polynomials ⋮ Some convolution identities for Frobenius-Euler polynomials ⋮ Symmetric identities on Bernoulli polynomials ⋮ Applications of Riordan matrix functions to Bernoulli and Euler polynomials ⋮ On $q$-hypergeometric Bernoulli polynomials and numbers ⋮ Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials ⋮ Symmetric identities for Euler polynomials ⋮ Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture ⋮ Summation formulas for the products of the Frobenius-Euler polynomials ⋮ Matiyasevich-type identities for hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials ⋮ Convolution identities for Bernoulli and Genocchi polynomials ⋮ Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ General convolution identities for Bernoulli and Euler polynomials ⋮ Unnamed Item ⋮ An extension of a congruence by Tauraso ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations ⋮ A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Higher-order convolutions for Bernoulli and Euler polynomials ⋮ Unnamed Item ⋮ Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Unnamed Item ⋮ Some sum relations involving Bernoulli and Euler polynomials ⋮ Arithmetic theory of harmonic numbers ⋮ On some Diophantine results related to Euler polynomials ⋮ A two-variable Dirichlet series and its applications ⋮ Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials

Cites Work

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• A relation between Bernoulli numbers
• Combinatorial identities in dual sequences
• On Miki's identity for Bernoulli numbers
• General congruences for Bernoulli polynomials.
• Sums of products of Bernoulli numbers
• Hodge integrals and Gromov-Witten theory
• On Euler numbers modulo powers of two
• Convolutions on the Ring of p -Adic Integers
• AN APPLICATION OF p-ADIC CONVOLUTIONS

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