Computation of Euler's type sums of the products of Bernoulli numbers

DOI10.1016/j.aml.2008.06.040zbMath1228.11025OpenAlexW2087478564MaRDI QIDQ1021828

Aleksandar Petojević, Hari M. Srivastava

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.040

zbMATH Keywords

generating functionsinteger sequencesBernoulli numbersmultinomial coefficientsBernoulli polynomialsStirling numbers of the first kindsums of productsCauchy product of power seriesDilcher's sumsEuler's sums

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68)

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Algorithms for some Euler-type identities for multiple zeta values ⋮ Weighted sum formulas of multiple zeta values with even arguments ⋮ Identities for Reciprocal Binomials ⋮ A note on sums of products of Bernoulli numbers ⋮ Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮ New identities involving Bernoulli, Euler and Genocchi numbers ⋮ Sums of products of Apostol-Bernoulli numbers ⋮ Higher recurrences for Apostol-Bernoulli-Euler numbers ⋮ Reduction and duality of the generalized Hurwitz-Lerch zetas ⋮ An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials ⋮ Identities for the harmonic numbers and binomial coefficients ⋮ Sums of products of hypergeometric Bernoulli numbers ⋮ A unified presentation of identities involving Weierstrass-type functions and their applications ⋮ Convolution identities on the Apostol-Hermite base of two variables polynomials ⋮ Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials

Uses Software

• OEIS

Cites Work

• An identity involving Riemann zeta function
• On the several identities of Riemann zeta-function
• Some identities involving the Riemann zeta-function. II
• Sums of products of Bernoulli numbers
• A note on Bernoulli identities associated with the Weierstrass ℘-function
• Some families of Weierstrass-type functions and their applications
• A Note on Bernoulli Numbers and Shintani Generalized Bernoulli Polynomials
• New sums of products of Bernoulli numbers
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