On a general class of trigonometric functions and Fourier series

Authors: Germano Pavao, H.1; Capelas de Oliveira, E.2

Source: International Journal of Mathematical Education in Science and Technology, Volume 39, Number 7, October 2008 , pp. 961-967(7)

Publisher: Taylor and Francis Ltd

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Abstract:

We discuss a general class of trigonometric functions whose corresponding Fourier series can be used to calculate several interesting numerical series. Particular cases are presented.

Keywords: Fourier series; sums; numerical series

Document Type: Research article

DOI: 10.1080/00207390802054490

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

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