Exact and Unique solution for base e^(1/e)

[andydude]

The cheta + base-change approach? Or the "accelerated" method of finding the power series for Andrew's approach? (The latter is more a computational shortcut, but it gives/uses insight into the structure in the complex plane.)

I was referring to the cheta + base-change approach, which I do not understand.

I understand your "accelerated" method since its uses the same logic as as natural/intuitive iteration, only it makes a different assumption about the "unknown coefficients". I think I could do a good job of describing this method if you want to focus on the cheta function.

Andrew Robbins