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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#27
Though it is not mentioned on Mathworld one can probably use the quite easy iteration formula:
with

directly derived from iff by making the iteration formula out of it. The branches of the logarithm then again correspond to the branches of .

For example for I get by this iteration formula: when using the main branch of the logarithm.
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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 bo198214 - 11/04/2007, 05:00 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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