A first hires look at tetration \(\lambda = 1\) and \(b = e\)
#20
Your pictures of \( \mu = \lambda = 1+i \), The four slashes inside the image look like the function has crashed.

I also recently tested that in base=\(  e^{10^{24}} \) or init(1,1E24,1000), the beta function would crash.

init(1,1E-24,1000) will also crash.


I also created images of a circle scanned in the complex plane with a radius of 1/1E16/1E-16. The images of the real axis still need some time.

[Image: uc?export=view&id=1wXZ9C4Y-pgzLjUoCkxss-A4xxkPpi6Gh]
[Image: uc?export=view&id=1Bx0v4id8M7cCfGfVYZWHkNVqzhR2OmSq]
[Image: uc?export=view&id=1x0ne8oi2-nEDlYaP7_XZBaqzxxGuIxkO]


 

This is Shell-Thron region base.  
[Image: uc?export=view&id=1lDc9VVs_fSX4KPtHKvkzCZJiFWxbRFS2]



real axis:


[Image: uc?export=view&id=1OAC9gxzcblz39xwJOxdKZjDTYr8srlEj]
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RE: A first hires look at tetration \(\lambda = 1\) and \(b = e\) - by Ember Edison - 11/22/2021, 07:42 AM



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