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 Can we get the holomorphic super-root and super-logarithm function? sheldonison Long Time Fellow Posts: 680 Threads: 24 Joined: Oct 2008 06/09/2019, 04:31 PM (This post was last modified: 06/10/2019, 03:33 AM by sheldonison.) (06/09/2019, 04:03 PM)Ember Edison Wrote: Thank you for your work.It's very helpful. by the way...I can't set the base with -0.1 <= x <= 0.62, 0.88 <= x <= 1.042, how can i do something to fix it? Instead of b, try b+1E-25*I so that its not on the real axis; that might help a little.  But if using fatou.gp for bases close to zero, the sexpinit breaks since the real part of the pseudo period of the fixed points gets too small so the theta mapping falls apart.  base=0 is a singularity.  For real bases>1 and less than 1.042, the problems are different as the imaginary period gets smaller and smaller.  base=1 is also a singularity.  Its probably best to accept these as the unavoidable computation limits.  So then the superroot problem mostly has the same computation limits as extending Kneser to complex bases and baseseta to generate a real valued tetration function.  Perhaps I will post more later. - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 05/28/2019, 02:53 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by sheldonison - 05/29/2019, 03:49 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 05/30/2019, 09:16 AM RE: Can we get the holomorphic super-root and super-logarithm function? - by sheldonison - 05/30/2019, 11:33 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 06/01/2019, 03:59 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by sheldonison - 06/02/2019, 07:51 AM RE: Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 06/08/2019, 05:22 AM RE: Can we get the holomorphic super-root and super-logarithm function? - by sheldonison - 06/09/2019, 12:24 AM RE: Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 06/09/2019, 04:03 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by sheldonison - 06/09/2019, 04:31 PM RE: Can we get the holomorphic super-root and super-logarithm function? - by Ember Edison - 06/10/2019, 04:29 AM

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