[Update] Comparision of 5 methods of interpolation to continuous tetration

[Gottfried]

I thought the Kneser method was a riemann mapping from a piece of the brown curve of Gottfried's first 2 pics onto the positive real axis.

But those pics show selfcrossing !

Hence what did I miss about the Kneser method ?

Hmm, unfortunately I did never understand in which way some mapping -be it Riemann or something else- is introduced into the mathematical model or even only into the computations of values or of the coefficients of the power series for the regular tetration. (I only found lots of web-pages which focus on *the proof* of the mapping theorem in this or that way). So sorry, I cannot be of help here.

Gottfried