Sums of products of two \(q\)-Bernoulli numbers

DOI10.1006/jnth.1998.2331zbMath0916.11014OpenAlexW2314203635MaRDI QIDQ1283812

Junya Satoh

Publication date: 7 July 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2331

zbMATH Keywords

generating function\(*\)-product\(q\)-Bernoulli number

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items

Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Convolution identities and lacunary recurrences for Bernoulli numbers ⋮ Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮ Higher recurrences for Apostol-Bernoulli-Euler numbers ⋮ Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications ⋮ Sums of products of Kronecker's double series ⋮ An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials ⋮ Sums of products of hypergeometric Bernoulli numbers ⋮ Complete sum of products of (h,q)-extension of Euler polynomials and numbers ⋮ Convolution identities on the Apostol-Hermite base of two variables polynomials ⋮ Relations for Bernoulli–Barnes numbers and Barnes zeta functions

Cites Work

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• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• Sums of products of Bernoulli numbers
• A construction of q-analogue of Dedekind sums