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Pictures of the Chi-Star
#10
James,

I had to edit my posts to remove any references to Kneser's function.  I can get as far as Kneser's RiemannMapping region, which exactly matches Jay's post.  And, if you reread my edited posts,  I showed that you can get from the RiemannMapping region as follows:

 
Then you can use the complex valued inverse Abel function to get Tetration as follows:


But I don't understand Kneser's function which does not seem to be  .   Kneser is using the RiemannMapping  result in a different way than I am.  Also, Kneser finishes by constructing the real valued slog.... This thread is still good and the pictures are really cool, but I am discouraged that after all these years I still don't understand Kneser as much as I would like.  I'm sure that in time, I will understand more, or perhaps someone can step in and further enlighten me.

I think maybe I got it, but I will need to reread Henryk's post a few more times.  The only thing I can figure, that makes any sense at all is:
Kneser's equation for the inverse of Tetration in terms of tau
This shows the inverse of tau in terms of my z+theta(z)
But then is the end result of the inverse of the RiemannMapping, which totally I don't get from Henryk's post, and it still confuses me....

can also be expressed as a different 1-cyclic mapping I'm not sure this matter much though
- Sheldon
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Messages In This Thread
Pictures of the Chi-Star - by sheldonison - 05/28/2017, 01:13 AM
RE: Pictures of the Chi-Star - by JmsNxn - 05/28/2017, 08:46 PM
RE: Pictures of the Chi-Star - by sheldonison - 05/29/2017, 09:14 AM
RE: Pictures of the Chi-Star - by sheldonison - 05/31/2017, 02:40 AM
RE: Pictures of the Chi-Star - by JmsNxn - 05/29/2017, 05:07 PM
RE: Pictures of the Chi-Star - by JmsNxn - 05/31/2017, 05:38 PM
RE: Pictures of the Chi-Star - by sheldonison - 06/01/2017, 12:49 AM
RE: Pictures of the Chi-Star - by JmsNxn - 06/01/2017, 07:29 AM
RE: Pictures of the Chi-Star - by sheldonison - 06/01/2017, 01:41 PM
RE: Pictures of the Chi-Star - by JmsNxn - 06/07/2017, 08:18 PM
RE: Pictures of the Chi-Star - by sheldonison - 06/08/2017, 01:19 PM
RE: Pictures of the Chi-Star - by JmsNxn - 06/08/2017, 09:20 PM
RE: Pictures of the Chi-Star - by sheldonison - 06/09/2017, 01:11 PM
RE: Pictures of the Chi-Star - by JmsNxn - 06/09/2017, 05:25 PM

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