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levy ecalle koenigs ?
#3
(07/08/2010, 11:31 PM)tommy1729 Wrote: .....in fact i would like to see a limit like superfunction type of solution to parabolic iteration , something similar to koenigs non-parabolic iteration solution.

does there exist a method for all fixpoints ( parabolic or non-parabolic ) in terms of a limit , not using carleman ?
is parabolic. Khoustenov gives the equation for the assymptotic behavior, although convergence is slow.
http://en.citizendium.org/wiki/Tetration
> At b=e^(1/e) , the limiting value L=e, and, asymptotically,
> F(z)=e - 2e/z + error term
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Messages In This Thread
levy ecalle koenigs ? - by tommy1729 - 07/08/2010, 11:31 PM
RE: levy ecalle koenigs ? - by bo198214 - 07/09/2010, 05:46 AM
RE: levy ecalle koenigs ? - by tommy1729 - 07/09/2010, 12:27 PM
RE: levy ecalle koenigs ? - by bo198214 - 07/10/2010, 05:17 AM
RE: levy ecalle koenigs ? - by sheldonison - 07/09/2010, 11:48 AM
RE: levy ecalle koenigs ? - by tommy1729 - 07/21/2010, 10:41 PM
RE: levy ecalle koenigs ? - by bo198214 - 07/24/2010, 02:59 AM



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