04/05/2009, 12:45 PM
(This post was last modified: 04/05/2009, 04:35 PM by sheldonison.)

bo198214 Wrote:....Kouznetsov has graphs of the lower super exponential for in the citizendium wiki. He says "the function approaches its limiting value e, almost everywhere". I haven't seen any graphs for the upper superexponential though.

Unfortunately the convergence gets quite bad for approaching , so I could not really check numerically.

On the other hand Walker describes also two solutions for in "On the solutions of an Abelian equation". I did not really read this article, but I think he also showed that these solutions are not the limit of approaching .

....

in the thread regular slog.

Literature is: Szekeres "Regular iteration of real and complex functions."

For , the function exponentially decays to its limiting value in the complex plane at +/- i . This is probably also true for the upper super exponential for , as the value at the real axis increases ...