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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#6
I've just prepared a plot (resized here) which focuses the contours of the imag(b)=imag(x^(1/x))=0 - coordinates of x.

I'm trying to hack my "tracer" now, if Andrew's reference shouldn't work for real values b>e^(1/e)

Gottfried
   

A bigger version is at
contour

Some "fun"-versions are
relief 2 (usable as tiling-background, for instance at the wall of my bathroom ;-) )

and for instance inverted some coefficients
surface
and as relief again
reflief 3
Gottfried Helms, Kassel
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Messages In This Thread
RE: The Complex Inverse h of x^(1/x) - by Gottfried - 09/10/2007, 01:59 PM
RE: Tetration below 1 - by Gottfried - 09/09/2007, 07:04 AM
RE: The Complex Lambert-W - by Gottfried - 09/09/2007, 04:54 PM
RE: The Complex Lambert-W - by andydude - 09/10/2007, 06:58 AM

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