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Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level \(m\) - MaRDI portal

Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level \(m\) (Q2221508)

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Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level \(m\)
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    Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level \(m\) (English)
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    2 February 2021
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    Summary: This article deals with some properties -- which are, to the best of our knowledge, new -- of the generalized Euler polynomials of level \(m\). These properties include a new recurrence relation satisfied by these polynomials and quadrature formulae of Euler-Maclaurin type based on them. Numerical examples are also given.
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    Euler polynomials
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    generalized Euler polynomials of level \(m\)
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    Euler-Maclaurin quadrature formulae
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    quadrature formula
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