On the Use of Integrals to Evaluate Series of Rational Terms

Details On the Use of Integrals to Evaluate Series of Rational Terms On the Use of Integrals to Evaluate Series of Rational Terms

2007-10-05

arxiv.org/abs/0710.1131v1

Mathematics

Classical Analysis and ODEs

9 pages, no figures

Scientific paper

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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