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my accepted bases

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my accepted bases
tommy1729 Offline
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#1
08/29/2010, 07:38 PM (This post was last modified: 08/29/2010, 07:43 PM by tommy1729.)
for what bases can we define tetration ?

consider h(x) = x^x^x^...

let the analytic continuation be H(x). (nevermind the closed form)

then the accepted bases z imho are those that satisfy :

abs(H'(z)) > 1 and H(z1) =/= H(z2)

are there still open questions about complex bases btw ?

forum seems focused on real bases.

regards

tommy1729
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