06/04/2010, 12:23 PM
(This post was last modified: 06/04/2010, 12:32 PM by sheldonison.)

(06/04/2010, 03:28 AM)bo198214 Wrote: Hm, so even there! Actually I found out that you can do the basechange also for bases smaller : The limitI followed most of that, what is the constant value? the upper fixed point of a? Also, what is the circle notation, ? Is it the same as ? No...

exists for all and and satisfies .

However it is constant for (the upper fixed point of of ). BUT it is strictly increasing for ! This means we can use the change of base to change bases of regular tetration at the *upper* fixed point.

Quote:But even then:Yeah, I would expect all of the same problems of iterating complex logarithms, with super exponential windings, and singularities.

If and are the regular superfunctions to base and respectively at the *upper* fixed point, then

is a superfunction to base but

.