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+--- Thread: Is bounded tetration is analytic in the base argument? (/showthread.php?tid=1109)
Is bounded tetration is analytic in the base argument? - JmsNxn - 01/02/2017
A very simple question I can't find in the scattered tetration literature.
If \( 1 < \alpha < e^{1/e} \) is \( ^z\alpha \) analytic in \( \alpha \)? I.e: is it expandable into a Taylor series in \( \alpha \) depending on \( z \) about each \( \alpha_0 \in (1,\eta) \)?