Functional relations for hyperbolic cosecant series

M. Buzzegoli

We study the function series ${\sum }_{n=1}^{\infty }{\varphi }^{2m+2}{\text{cosch}}^{2m+2}(n\varphi /2)$, and similar series, for integers $m$ and complex $\varphi$. This hyperbolic series is linearly relate…