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Iterability of exp(x)-1
#21
Since I don't have Mathematica, could you by chance post graphs of the root test to 150 or 200 terms for half-iterates (1/2 for starters, -1/2, etc., if not too much trouble)? I'm curious to see if it continues what appears to be a linear climb. I've downloaded Paritty and am hoping to learn how to use it over the next few days, but it'll be a while before I'm up and running.

By the way, the non-infinite radius of convergence for negative half-iterates is to be *expected*, because those involve partial logarithms, and those will have a radius of convergence (as can be seen by the iterate -1).

Also, looking at the graph for the 1/2 iterate, it would seem that the first 50 terms should behave convergently for z values less than 0.6 or so. Considering that I plan to use z values less than 0.01, this is way more than sufficient for several hundred digits of accuracy, especially if I go out to 100 terms or so.
~ Jay Daniel Fox
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Messages In This Thread
Iterability of exp(x)-1 - by bo198214 - 08/11/2007, 09:33 PM
RE: Iterability of exp(x)-1 - by Daniel - 08/11/2007, 09:49 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/11/2007, 11:42 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/12/2007, 09:07 AM
RE: Iterability of exp(x)-1 - by jaydfox - 08/12/2007, 04:41 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 08:54 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/11/2007, 10:25 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:06 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:13 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:16 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 09:33 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:00 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:05 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:11 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:22 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:00 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:29 PM
RE: Iterability of exp(x)-1 - by andydude - 08/13/2007, 10:30 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:39 PM
RE: Iterability of exp(x)-1 - by andydude - 08/15/2007, 08:36 AM
RE: Iterability of exp(x)-1 - by bo198214 - 08/15/2007, 09:21 AM
RE: Iterability of exp(x)-1 - by andydude - 08/15/2007, 08:40 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/15/2007, 08:54 AM
RE: Iterability of exp(x)-1 - by jaydfox - 08/15/2007, 08:53 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/15/2007, 09:13 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/20/2007, 04:14 PM
RE: Iterability of exp(x)-1 - by andydude - 09/05/2007, 08:15 PM
RE: Iterability of exp(x)-1 - by bo198214 - 09/07/2007, 02:45 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/15/2008, 09:13 AM
RE: Iterability of exp(x)-1 - by bo198214 - 03/15/2008, 01:14 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/15/2008, 08:25 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/18/2008, 10:14 AM



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