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

publication date

  • July 2018

start page

  • 43

end page

  • 64

issue

  • 2

volume

  • 6

International Standard Serial Number (ISSN)

  • 2244-8659

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.

subjects

  • Mathematics

keywords

  • euler polynomials; generalized euler polynomials of level m; euler-maclaurin quadrature formulae; quadrature formula