How would one go about finding the fixed points of e^z, where z is complex (i.e. all z s.t. e^z = z)?
The Attempt at a Solution
I've considered all the relevant formulas (de Moivre's forumla, power series, z = re^i*theta, ...).
For some reason, I'm just not getting the solution. I feel that this is going to be really obvious, and I'm not sure why I'm not getting it. Thanks.