Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation
#16
I also remember someone asking about fixedpoints of tetration, so I graphed some complex plots of \( e^z - z \) and \( {}^{z}e - z \) for comparison.

It looks as though there are fixedpoints of tetration at:
  • \( z = -1.85 \)
  • \( z = 0.8 \pm 1.5 i \)
  • \( z = 3 \pm 0.5 i \)
  • and more...


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RE: Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation - by andydude - 10/23/2009, 09:03 PM

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