Can you tell me what you get? I've tried computing it, I've got some result but I don't think it's right since I need to use it for something else and it doesn't work at all... What exactly I'm trying to do is to find a infinite sum corresponding to $coth(\pi/2)$, do you see anything?
Thank you!
what I get:
$\exp(x) \sim \dfrac{2\sinh(\pi/2)}{\pi}+ \sum \left[\tfrac{4(-1)^n \sinh(\pi/2)}{8n^2+\pi}\cos(2nx) - \tfrac{8n(-1)^n \sinh(\pi/2)}{8n^2+\pi}\sin(2nx)\right]$
That seems totally wrong...