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On sums of numerical series and Fourier series

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We discuss a class of trigonometric functions whose corresponding Fourier series, on a conveniently choosen interval, can be used to calculate several numerical series. Particular cases are presented and two recent results involving numerical series are recovered.

Keywords: Fourier series; numerical series; sum of series

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00207390701868396

Affiliations: 1: Departamento de Fisica CCET, CP549, MS, Brazil 2: Departamento de Matematica Aplicada Imecc, Unicamp, SP, Brazil

Publication date: July 1, 2008

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