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Computing Kneser's Super Logarithm, and its Analytic Continuation
#1
Question 
What is the big O for computing Kneser's super logarithm, with the fastest known algorithm for computing it? Do we know what the best possible big O for computing Kneser's super logarithm is? (Even if we do not know what algorithm would have that big O.)
What about computing the inverse Kneser's tetration, instead of his super logarithm?
What about computing the analytical continuation of the Kneser method?
Sincerely: Catullus
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#2
the analytic continuation is usually done by using the functional equations.

assuming analytic and the validity of the functional equation ofcourse.
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