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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#20
Gottfried Wrote:there is an article of L Euler, which seems to deal with it.

Wow, Gottfried! Where did you dig out this article?!
However it seems to be beneficial being able to read Latin ...
At least I see in the text ... Smile

And there we have it already, Ivar.
One branch of the LambertW function gives , hence for this branch . (Forget what I said about , that was a somewhat misled speculation).

We can imagine the branches of given by the fixed points of .
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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 - 11/03/2007, 08:33 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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