Higher-order convolutions for Bernoulli and Euler polynomials

DOI10.1016/j.jmaa.2014.05.050zbMath1293.11032OpenAlexW2016115496MaRDI QIDQ2252329

Takashi Agoh, Karl Dilcher

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.050

zbMATH Keywords

Euler numberBernoulli numberBernoulli polynomialGenocchi numberconvolution identitiesEuler polynomial

Mathematics Subject Classification ID

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

Related Items (13)

Some new formulas for the products of the Frobenius-Euler polynomials ⋮ Unnamed Item ⋮ A unified approach to higher order convolutions within a certain subset of Appell polynomials ⋮ Summation formulas for the products of the Frobenius-Euler polynomials ⋮ Matiyasevich-type identities for hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials ⋮ General convolution identities for Bernoulli and Euler polynomials ⋮ Unnamed Item ⋮ Identities involving Bernoulli and Euler polynomials ⋮ Nonlinear Identities for Bernoulli and Euler Polynomials ⋮ Convolutions of the bi-periodic Fibonacci numbers ⋮ Unnamed Item ⋮ Closed form expressions for Appell polynomials ⋮ Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convolution identities for Bernoulli and Genocchi polynomials
• New identities involving Bernoulli and Euler polynomials
• Convolution identities and lacunary recurrences for Bernoulli numbers
• Shortened recurrence relations for Bernoulli numbers
• A relation between Bernoulli numbers
• Calculation of Belyi functions for trees with weighted edges
• On Miki's identity for Bernoulli numbers
• A generalised beta integral and the limit of the Bernstein--Durrmeyer operator with Jacobi weights
• THE MIKI-GESSEL BERNOULLI NUMBER IDENTITY

This page was built for publication: Higher-order convolutions for Bernoulli and Euler polynomials