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my accepted bases - tommy1729 - 08/29/2010

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