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Solving tetration for base 0 < b < e^-e
#4
(09/12/2009, 07:20 AM)bo198214 Wrote:
(09/12/2009, 06:56 AM)bo198214 Wrote: So I would consider the regular iteration of and then just always take the half of the iteration number .

The interesting thing is that not only has the two attracting fixed points and but also a repelling fixed point in between. Which is attractive for in the range .

[attachment=551]
Graph for b=0.01 with p1=0.941482102273016 and p2=0.0130925205079953.

So why not do regular iteration at that inbetween fixed point?

Because it's a repelling point, so the resulting superfunction will still be entire, and I want to try and find one with the singularities, etc., as that is more like what is expected from "tetration".
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Messages In This Thread
RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 07:40 AM

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