A unified calculus using the generalized Bernoulli polynomials

DOI10.1006/JATH.2000.3550zbMath0976.41029OpenAlexW2069226673MaRDI QIDQ5933480

Clément Frappier

Publication date: 8 January 2002

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

Full work available at URL: https://semanticscholar.org/paper/97c36938b687f38a6faab97b6eafd7b49dd30984

zbMATH Keywords

\(\alpha\)-Bernoulli polynomials\(\alpha\)-derivativeentire functions of exponential typeunified calculus

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Remainders in approximation formulas (41A80) Approximations and expansions (41A99)

Related Items (4)

Generalized \(q\)-Bernoulli polynomials generated by Jackson \(q\)-Bessel functions ⋮ Multiple zeta values for classical special functions ⋮ Unnamed Item ⋮ New results of α-calculus

Cites Work

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• A Quadrature Formula for Entire Functions of Exponential Type
• Generalised Bernoulli polynomials and series
• Interpolation Series

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