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On a class of real integrals

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Abstract:

We present a calculation involving a wide class of real integrals by means of integration in the complex plane. Some particular cases where Euler numbers and Bell polynomials appear are discussed and a generalisation of some previous results is also provided.

Keywords: Bell polynomials; Euler numbers; Stirling numbers; analytical functions; real integrals; residue theorem

Document Type: Research Article

DOI: https://doi.org/10.1080/00207390802566949

Affiliations: 1: Institute of Mathematics, Statistics and Scientific Computation (IMECC), University of Campinas - UNICAMP, SP, Brazil,Department of Physics, University of Bologna, Bologna, Italy 2: Institute of Mathematics, Statistics and Scientific Computation (IMECC), University of Campinas - UNICAMP, SP, Brazil

Publication date: 2009-01-01

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