On sums of numerical series and Fourier series

Authors: Pavao, H. Germano¹; Capelas de Oliveira, E.²

Source: International Journal of Mathematical Education in Science and Technology, Volume 39, Number 5, July 2008 , pp. 679-685(7)

Publisher: Taylor and Francis Ltd

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Abstract:

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: numerical series; Fourier series; sum of series

Document Type: Research article

DOI: 10.1080/00207390701868396

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

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