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Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation
#3
(10/13/2009, 07:45 AM)bo198214 Wrote: You mean tetration base e?

Though I think the complex fixed points are not so interesting for pentation.
We have a real fixed point between -2 and -1 for all bases > 1.
And also another real fixed point > 0 in the case b < e^{1/e}.

But are we sure that there are no non-real fixed points?

Also to investigate:
will pentation for base e have any non-trivial singularities?
Base-e pentation may be an entire function.
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Messages In This Thread
RE: complex fixed points of tetration/tetralogarithm - by Base-Acid Tetration - 10/13/2009, 07:46 PM

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