On sums of products of the degenerate Bernoulli numbers

DOI10.1080/10652460902794060zbMath1181.11026OpenAlexW2002573235MaRDI QIDQ3644330

Zhizheng Zhang, Jizhen Yang

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1080/10652460902794060

zbMATH Keywords

Bernoulli numberdegenerate Bernoulli numbersum of products

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (8)

Degenerate \(q\)-Euler polynomials ⋮ Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮ A note on degenerate poly-Bernoulli numbers and polynomials ⋮ On degenerate Bell numbers and polynomials ⋮ An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials ⋮ Sums of products of the degenerate Euler numbers ⋮ An algebraic approach to \(q\)-partial fractions and Sylvester denumerants

Cites Work

• A degenerate Staudt-Clausen theorem
• On recurrence relations for the extensions of Euler sums
• On Miki's identity for Bernoulli numbers
• 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
• Some identities involving Bernoulli and Stirling numbers.
• Unnamed Item

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