An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials

DOI10.1016/j.bulsci.2019.102798zbMath1461.11043OpenAlexW2981008381WikidataQ127020297 ScholiaQ127020297MaRDI QIDQ2331564

M. R. Beyki, Wolfram Koepf, Mohammad Masjed-Jamei

Publication date: 29 October 2019

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2019.102798

zbMATH Keywords

generating functionsFourier expansionsAppell polynomialsBernoulli polynomials and numbersEuler-Maclaurin quadrature rules

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Polynomials in number theory (11C08) Analytic computations (11Y35)

Related Items (10)

A parametric type of Bernoulli polynomials with higher level ⋮ A special approach to derive new formulas for some special numbers and polynomials ⋮ A parametric type of Bernoulli polynomials with level 3 ⋮ Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions ⋮ Unnamed Item ⋮ Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials ⋮ New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions ⋮ Some identities of the degenerate multi-poly-Bernoulli polynomials of complex variable ⋮ Formulas involving sums of powers, special numbers and polynomials arising from p-adic integrals, trigonometric and generating functions ⋮ Sine and cosine types of generating functions

Cites Work

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• Multiple zeta values at non-positive integers
• The Akiyama-Tanigawa matrix and related combinatorial identities
• Formal groups, Bernoulli-type polynomials and \(L\)-series
• The Cauchy numbers
• On \(p\)-Bernoulli numbers and polynomials
• POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
• Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters
• The Arakawa-Kaneko zeta function

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