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Mighty polynomials - Printable Version

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Mighty polynomials - Daniel - 03/30/2023

It is well known that the map of \[(e^\frac{1}{e})^x\] behaves differently, it displays parabolic tetration or iteration. It is also a polynomial. It seems that each hyperoperator has a parabolic value where it is a polynomial. I'm trying to figure out if one can move from one parabolic value to the parabolic value of the succeeding hyperoperator.