A generalization of the Bernoulli polynomials

نویسندگان

  • PIERPAOLO NATALINI
  • ANGELA BERNARDINI
  • P. Natalini
چکیده

The Bernoulli polynomials have important applications in number theory and classical analysis. They appear in the integral representation of differentiable periodic functions since they are employed for approximating such functions in terms of polynomials. They are also used for representing the remainder term of the composite Euler-MacLaurin quadrature rule (see [15]). The Bernoulli numbers [3, 13] appear in number theory, and in many mathematical expressions, such as

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تاریخ انتشار 2003