01/10/2016, 06:46 PM
(This post was last modified: 01/10/2016, 08:21 PM by sheldonison.)

(01/10/2016, 05:41 PM)andydude Wrote: I think the glitch (at about 0.2*I) in the plot above is because I was evaluating a power series outside of its radius of convergence, I tried plotting again with a smaller estimate for the radius of convergence, and the glitch disappeared.

How fast does the superroot3 grow on the negative real axis? Something funny happens somewhere near -35.83, maybe because the imaginary part goes to zero. Is this another singularity, or an exponential/logarithmic branch problem?

z = -0.368593375973251 + 8.24287825516783 E-7*I

z^z^z = -35.83

z = -0.36859401116538

z^z^z = -35.830698526398

- Sheldon