On some properties of the generalized Bernoulli and Euler polynomials

DOI10.1080/10652469.2011.627995zbMath1266.33023OpenAlexW2069065932MaRDI QIDQ3144960

Yu. A. Brychkov

Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.627995

zbMATH Keywords

generalized Bernoulli numbersgeneralized Euler polynomialsgeneralized Euler numbersgeneralized Benoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other functions defined by series and integrals (33E20)

Related Items (6)

Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Identities involving Bernoulli and Euler polynomials ⋮ Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampé de Fériet functions ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions ⋮ Uniform convergent expansions of integral transforms ⋮ New recurrence relations for several classical families of polynomials

Cites Work

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• An explicit formula for the generalized Bernoulli polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Power expansions of powers of trigonometric functions and series containing Bernoulli and Euler polynomials

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