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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#71
Hej Gottfried

In principle fits, as I want to get rid of real number line-I do not believe numbers are organized that way. There must be more logical and "mechanical" unified structure in mathematics which produces numbers, such where "unexpected connections" and "suprising identities" arise naturally. And so far Lambert function, and tetration related to it seems the most promising direction in finding at least some part of this structure.

Also, as i and thus h(e^pi/2)= i means rotation, the processes governing math might be as well governing or even, equaling physics and flows of infinitesimals. So I think GFR is absolutely right, next question is to find which of the number expressions is the basic one.
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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 Ivars - 11/22/2007, 10:36 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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