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Is bugs or features for fatou.gp super-logarithm?
#1
I have been a big pressure test for fatou.gp in one month.
In the post(https://math.eretrandre.org/tetrationfor...p?pid=8952) I say is ill-region for fatou.gp. In fact, the ill-region for slog is little bigger the sexp.

But, There's look like other problem out of the ill-region.This gif is slog for base = Pi*(-1)^(x/30), 0<=x<=59.[Image: Pathological_phenomenon_for_fatou_super-...9%3DPi.gif]

You can see the program be pathological close to branch cut.
This plot is slog for Sheldon base. It look like well-behaved.
   
This plot is slog for base = eta. It look like well-behaved too.
[Image: Complex_super-logarithm%2C_base_%3D_eta.png]
base = -eta. It look like pathological.
   
base = sqrt(2). It look like well-behaved.
[Image: Complex_Kneser%27s_super-logarithm%2C_ba...282%29.png]
base = -sqrt(2). 
   
base = (-1)^(1/100). It's the closest base to 1. Is look like well-behaved? No, the program crash when Im(z)>
   
base = 0.8. 
[Image: Complex_Kneser%27s_super-logarithm%2C_base_%3D_0.8.png]
base = -0.105. It's the closest base to 0. 
   
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Messages In This Thread
Is bugs or features for fatou.gp super-logarithm? - by Ember Edison - 07/10/2019, 12:46 PM

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