Hey, Tom; I'm curious to see your representation of this function using the Lambert function. I have a couple representations of this function in the complex plane; but they're a little... esoteric, let's say. And don't look much better than the initial representation. I've got some half-results on an integral version, that's about it.
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Nixon-Banach-Lambert-Raes tetration is analytic , simple and “ closed form “ !!
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