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Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level m

Journal: Bulletin of Computational Applied Mathematics (Bull CompAMa) (Vol.6, No. 2)

Publication Date:

Authors : ; ;

Page : 43-64

Keywords : Euler polynomials; generalized Euler polynomials of level m; Euler-Maclaurin quadrature formulae; quadrature formula;

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Abstract

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.

Last modified: 2019-04-17 09:33:56