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Dmitrii Kouznetsov's Tetration Extension
#2
andydude Wrote:See Analytic solution of F(z+1)=exp(F(z)) in complex z-plane for more information.

About the uniqueness: It is well known that if we have a solution of the Abel equation then for any 1-periodic function also is a solution to the Abel equation. (Because ).

So let be one solution of
(*) with
(**) and
then is another solution of (*). Let us now consider (**). We know that and

. As
at least for x=0 also


[edit] fixed some negligences. [/edit]
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RE: Dmitrii Kouznetsov's Tetration Extension - by bo198214 - 04/21/2008, 10:41 PM

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