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Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#88
andydude Wrote:I just thought I'd add something I found recently.

A cardioid is a shape that is very similar to this, and I thought I'd try and approximate it. It turns out its not a cardioid, but its very close, and can be approximated with the parametric equations:




where a = 1.36 and c = 1.17

Andrew Robbins

Perhaps this can be also used? It has similar shape and parametrization, but different place for coefficients, and is more general then cardioid.

Limacon?

Ivars
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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 - 04/14/2008, 10:35 AM
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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