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Showing posts with the label residues theorem

Infinite sum reciprocal hyperbolic sine squared

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This is a short article to prove the following result To this end we will rely on some previous established results, namely: proved here, and proved here . As a corollary of our goal series we also obtain this nice series Click here  for the proof of our main series.

Infinite series involving hyperbolic cotangent

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In this article we want to prove the following three infinte series: click here for the proof.

A Ramanujan Series

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In this article we prove the following Ramanujan series To this end we will rely on the residues theorem.  Click here  for the proof of the Ramanujan´s series