English

On the Use of Integrals to Evaluate Series of Rational Terms

Classical Analysis and ODEs 2007-10-08 v1

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.

Keywords

Cite

@article{arxiv.0710.1131,
  title  = {On the Use of Integrals to Evaluate Series of Rational Terms},
  author = {Costas J. Efthimiou},
  journal= {arXiv preprint arXiv:0710.1131},
  year   = {2007}
}

Comments

9 pages, no figures