tetration from alternative fixed point
#4
(05/24/2010, 04:41 AM)sheldonison Wrote:
(05/23/2010, 07:54 AM)bo198214 Wrote: The problem with alternative fixed points is that we dont have a sickel between them. I.e. if we connect two conjugated non-primary fixed points with a straight line, then the image under \( e^z \) of this straight line overlaps itself. This is due to the imaginary part of the fixed point pair is apart more then \( 2\pi \) which makes the image of any connecting line between these fixed points, revolve around 0 at least once.
Would this refer to the graph of the complex super-function, generated from the secondary fixed point, or to the graph of the real valued super-exponential, after the Kneser solution?

Oh I refer here to the Kneser solution (and probably to the Kouznetsov solution too). These are the real-valued ones. It depends on an initial region bounded by some line between two fixed points and its image.
Quote:I'd like to graph the 3*pi*i contour line of the super-function generated from the secondary fixed point, 2.0622777296+i*7.5886311785

By which method?
I am also not really sure what you mean by 3*pi*i contour line of the super-function ...

Quote:It is straightforward to generate the super-function from the secondary fixed point,
You mean here regular iteration, giving non-real values on the real line?
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Messages In This Thread
RE: tetration from alternative fixed point - by bo198214 - 05/24/2010, 11:43 AM

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