11/28/2008, 12:50 AM
(This post was last modified: 11/28/2008, 01:52 AM by Kouznetsov.)
Do you mean singularities at \( z\approx -0.4+\pi \mathrm{i}+2\pi m), ~m\in \mathbb{N} \) ?
They are not fixed point of exp; \( \exp(-0.4+\pi \mathrm{i}+2\pi m)\approx -0.7 \) is real.
Why do you expect \( \sqrt{\exp} \) to have many fixed points?
Another question: Could you deduce analytically the coefficients in the first terms of the asymptotic expanstion of slog in civinity of the fixed point?
They are not fixed point of exp; \( \exp(-0.4+\pi \mathrm{i}+2\pi m)\approx -0.7 \) is real.
Why do you expect \( \sqrt{\exp} \) to have many fixed points?
Another question: Could you deduce analytically the coefficients in the first terms of the asymptotic expanstion of slog in civinity of the fixed point?