Does tetration take the right half plane to itself?
#7
(05/16/2017, 04:09 AM)JmsNxn Wrote: ...  It easily follows from this that \( \log^{\circ n}(\lambda^n z + L) \) is fully monotone, it uniformly converges to the inverse Schroder function, and therefore the inverse Schroder function is a fully monotone function...
Good luck with your paper.  We need more rigorous iterated exponentiation papers.
I just wondered what your approach to show the sequence "uniformly converges".  Is there an easy theorem, or did you want to go with a more complicated approach something like my lemma5?  Just curious.  Also, you probably meant  \( \log_b^{\circ n}(\lambda^n z + L) \) where b is the tetration base.
- Sheldon


Messages In This Thread
RE: Does tetration take the right half plane to itself? - by sheldonison - 05/16/2017, 03:34 PM

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