Convolution formulae for Bernoulli numbers

DOI10.1080/10652460903360861zbMath1214.11030OpenAlexW1988640378MaRDI QIDQ3570153

Chenying Wang, Chu, Wenchang

Publication date: 24 June 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903360861

zbMATH Keywords

Bernoulli numbersconvolution formulaederivative operatorshyperbolic cotangent numbers

Mathematics Subject Classification ID

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

Related Items (10)

Hybrid convolutions on Pell and Lucas polynomials ⋮ Identities for Bernoulli polynomials related to multiple Tornheim zeta functions ⋮ Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮ Mordell-Tornheim multiple zeta values at non-positive integers ⋮ On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture ⋮ Unnamed Item ⋮ Derivation of identities involving some special polynomials and numbers via generating functions with applications ⋮ Reciprocal relations of Bernoulli and Euler numbers/polynomials ⋮ Multiple convolution formulae of Bernoulli and Euler numbers ⋮ An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials

Cites Work

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• Formulas for power of the hyperbolic tangent with an application to higher-order tangent numbers
• Convolution identities and lacunary recurrences for Bernoulli numbers
• On Miki's identity for Bernoulli numbers
• Sums of products of Bernoulli numbers
• Bernoulli number identities from quantum field theory and topological string theory
• A note on Bernoulli identities associated with the Weierstrass ℘-function
• A Note on Bernoulli Numbers and Shintani Generalized Bernoulli Polynomials

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