infinite product expansion

Hi guys, looking for some help.

I'm a hardware electronic engineer by profession rather than a pure mathematician so some of the more denser theory is not easy for me. I'm trying to produce an analytic solution for a Schwarz christoffel mapping in an electrostatics problem I'm working on.

The equation I have is this:

this has to be multiplied out as an infinite product in order to make the solution periodic.

I'm not really sure how to simplify/expand the above in a way so as to make the equation in the form of an infinite product, i.e. Any help would be greatly appreciated.

sorry, the above equation was wrong, fixed it now.