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Bounded Analytic Hyper operators
#3
That is a fantastic paper!


I have an idea on how to extend this to real bases greater than eta
Define, for integer , the super root as the inverse of tetration in the base so that we have
Then we simply apply your method to factor this in :


Then we can simply invert in z.
...unfortunately, there does not seem to be a nice recursion relation between super roots that would force the result to be a tetration.
But it seems to converge numerically to the super root for your tetration.
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Messages In This Thread
Bounded Analytic Hyper operators - by JmsNxn - 03/23/2015, 02:12 AM
RE: Bounded Analytic Hyper operators - by MphLee - 03/24/2015, 08:34 PM
RE: Bounded Analytic Hyper operators - by fivexthethird - 03/25/2015, 07:29 AM
RE: Bounded Analytic Hyper operators - by marraco - 03/25/2015, 01:48 PM
RE: Bounded Analytic Hyper operators - by MphLee - 03/25/2015, 07:43 PM
RE: Bounded Analytic Hyper operators - by MphLee - 03/26/2015, 11:08 PM
RE: Bounded Analytic Hyper operators - by MphLee - 03/27/2015, 07:09 PM
RE: Bounded Analytic Hyper operators - by MphLee - 03/29/2015, 10:55 AM
RE: Bounded Analytic Hyper operators - by MphLee - 03/29/2015, 07:08 PM
RE: Bounded Analytic Hyper operators - by JmsNxn - 03/29/2015, 11:25 PM
RE: Bounded Analytic Hyper operators - by JmsNxn - 03/31/2015, 08:50 PM
RE: Bounded Analytic Hyper operators - by MphLee - 03/31/2015, 09:16 PM
RE: Bounded Analytic Hyper operators - by JmsNxn - 04/01/2015, 03:20 PM
RE: Bounded Analytic Hyper operators - by MphLee - 04/01/2015, 06:09 PM

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