(07/03/2010, 09:42 AM)mike3 Wrote: What do you think of this function? Especially the similarity between the shape of its graph and that of the selfroot. One could almost imagine a continuous spectrum of similar functions in between them -- "fractional-rank hyperoperations", anyone?
That indeed looks interesting (Andrew posted this self tetra root already somewhere on the forum and I proved somewhere that the limit is indeed e^(1/e)).
However I would expect to have a functional equation for the tetra self root.
As well as to know how you derive tetration from the tetra self root.
