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arXiv · 0710.1131

On the Use of Integrals to Evaluate Series of Rational Terms

Costas J. Efthimiou
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Abstract

This article is written with the hope to draw attention to a method that uses integral transforms to find exact values for a large class of convergent series (and, in particular, series of rational terms). We apply the method to some series that generalize a problem published in `The College Mathematics Journal'. Some of the results thus obtained have not been founded in standard references.

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BibTeXRIS

Costas J. Efthimiou. 2007-10-05. On the Use of Integrals to Evaluate Series of Rational Terms. https://arxiv.org/abs/0710.1131

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