08/25/2010, 10:09 PM
(08/25/2010, 02:19 AM)mike3 Wrote: I tried plotting it with "exact" value and the bounds were the same as on my first graph down to 5 digits, so the curves would not be visibly distinguishable. Though my tet-approximation is only accurate to like 14-15 digits or so here. So the regular is somewhat close, but not equal, to the tetrational at this line. That makes sense, though, since the tetrational is asymptotic to the regular iteration (and the corresponding one at the conjugate fixed point) in the direction of \( \pm i \infty \).
Ok, thanks! Good to know. Perhaps we could produce an overlay-plot to make the difference visible (for instance for illustration in some FAQ or introductory text)? I could send you my data or vice versa.
I started some different tries as an answer to the other questions - the consequences of the multivaluedness, but the matter is somehow extremely dense; perhaps I can put my further problems in readable words tomorrow.
Good night -
Gottfried
Gottfried Helms, Kassel
