Board index Computation of Series A Euler type sums

A Euler type sums

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Post Sat Jun 10, 2017 4:53 am

Posts: 105
How to calculate the closed form of the following Euler type Sums
\[\sum\limits_{n = 1}^\infty {\frac{{{H_n}}}{{{n^p}\sinh \left( {n\pi } \right)}}} = ?\]
Here the harmonic number $H_n$ is defined by
\[{H_n} = \sum\limits_{j = 1}^n {\frac{1}{j}}. \]

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