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Andrew Robbins' Tetration Extension

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Andrew Robbins' Tetration Extension
bo198214 Offline
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#3
08/19/2007, 09:50 AM (This post was last modified: 08/19/2007, 09:52 AM by bo198214.)
I just verified numerically that the superlog critical function (originally defined on \( (0,1) \)) for base \( e \) satisfies
\( t(x)=t(\log(x))+1 \) for all \( x\in(1,2) \).

So it is quite sure that the piecewise defined slog is also analytic.
Congratulation Andrew!

(However once someone has to prove this rigorously and also compute the convergence radius.)
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Andrew Robbins' Tetration Extension - by bo198214 - 08/07/2007, 04:38 PM
RE: Andrew Robbins' Tetration Extension - by bo198214 - 08/19/2007, 09:50 AM

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