The "cheta" function

[bo198214]

Ah, I remember that approach... I stopped pursuing this particular approach to tetration, because its answers varied from those of the cheta + base-change approach and from Andrew's solution (the "intuitive" solution?). (Not saying it's not at least partially relevant here, but just pointing out that this was my first attempt at a solution, and I dropped it in favor of cheta with base-change, which was my second attempt.)

but I think Sheldon posted somewhere that cheta + base-change also differs from Andrew's (intuitive) solution, or was it from Dmitrii's? Its anyway not investigated yet how Dmitrii's differs from Andrew's (they could be equal). I hope we can do some comparisons in the complex plane (because on the real axis differences are mostly too small) in the overview paper. Are you interested to participate? (I still didnt get an answer to that question.)