Is bounded tetration is analytic in the base argument? JmsNxn Ultimate Fellow Posts: 1,178 Threads: 123 Joined: Dec 2010 01/02/2017, 06:38 AM (This post was last modified: 01/02/2017, 06:39 AM by JmsNxn.) 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 $\alpha_0 \in (1,\eta)$? « Next Oldest | Next Newest »

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