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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#8
I've sort of a solution for the problem of finding complex t, where t^(1/t) =b and b is real, b>eta, by 2-dimensional newton-like approximation.

A plot for t = h(b), b=2..8192 is appended. The line seems to be that one in my previous plot, which leaves the displayed area at the top nearest the imaginary axis.

Gottfried

   
Gottfried Helms, Kassel
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Messages In This Thread
RE: Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e)) - by Gottfried - 09/19/2007, 05:17 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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