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 tetration from alternative fixed point sheldonison Long Time Fellow Posts: 683 Threads: 24 Joined: Oct 2008 06/03/2010, 04:13 AM (This post was last modified: 06/03/2010, 04:23 AM by sheldonison.) (05/24/2010, 03:03 PM)sheldonison Wrote: ....I do see that the secondary superfunction would lead to a sexp with a total of 6*pi*i windings around the singularity at -2. I'll post a picture of the 3*pi*i contour line when I get the arithmetic working, analogous to the picture I posted of the contour line from the primary fixed point, http://math.eretrandre.org/tetrationforu...e=threadedI haven't gotten the contour picture yet (and that would be the contours of the complex valued superfunction before the Riemann mapping), but I wanted to point at that 6*pi*i windings (after the Riemann mapping, which I have virtually no hope of computing) around the singularity of sexp_secondary(z=-2) is consistent with the taylor series for the sexp_secondary(z) at z=-1 having a lowest power term of z^3. The first and second derivatives would both be zero at f(z=-1). So I still think it might work, and might be analytic, although perhaps not terribly interesting, since the graph would be very very wobbly, with an inflection point and a derivative of zero at integers>=-1, z=-1,0,1,2,3 ..... - Shel « Next Oldest | Next Newest »

 Messages In This Thread tetration from alternative fixed point - by sheldonison - 05/23/2010, 12:05 AM RE: tetration from alternative fixed point - by bo198214 - 05/23/2010, 07:54 AM RE: tetration from alternative fixed point - by sheldonison - 05/24/2010, 04:41 AM RE: tetration from alternative fixed point - by bo198214 - 05/24/2010, 11:43 AM RE: tetration from alternative fixed point - by sheldonison - 05/24/2010, 03:03 PM RE: tetration from alternative fixed point - by sheldonison - 06/03/2010, 04:13 AM RE: tetration from alternative fixed point - by sheldonison - 06/21/2010, 04:24 PM RE: tetration from alternative fixed point - by bo198214 - 06/27/2010, 06:02 AM RE: tetration from alternative fixed point - by tommy1729 - 06/27/2010, 10:18 PM RE: tetration from alternative fixed point - by bo198214 - 06/28/2010, 03:08 AM RE: tetration from alternative fixed point - by sheldonison - 06/28/2010, 11:03 PM RE: tetration from alternative fixed point - by bo198214 - 06/29/2010, 06:53 AM RE: tetration from alternative fixed point - by sheldonison - 07/01/2010, 03:31 PM RE: tetration from alternative fixed point - by bo198214 - 07/02/2010, 07:37 AM RE: tetration from alternative fixed point - by bo198214 - 07/21/2010, 03:24 AM RE: tetration from alternative fixed point - by sheldonison - 07/21/2010, 04:58 PM RE: tetration from alternative fixed point - by sheldonison - 08/13/2010, 03:53 PM RE: tetration from alternative fixed point - by JmsNxn - 12/05/2011, 07:58 PM RE: tetration from alternative fixed point - by sheldonison - 12/06/2011, 02:43 PM RE: tetration from alternative fixed point - by Daniel - 12/24/2019, 06:26 AM

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