polynomial interpolation to fractional iteration

[Gottfried]

Very nice discussion! I like the colors of the coefficients.

Nice! Thanks

I also briefly discuss this in this thread, and Jay discusses this in this thread, just to let you know, if you forgot.

Yepp, thanks. Our forum is a rich resource - sometimes I just browse through older threads and understand today, what I didn't understand before... I'll have a look at it.

Also why do you call it U-tetration? I call it iterated decremented exponentials,

Yes, I know. But just count the number of letters... In informal exchange I tend to use the name of the matrices, which I use in Pari/Gp. And I don't know why, but U-tetration as some low-level association for me. If my other tetration-article is finished, I'll replace some of the nicks by the more expressive denotations.

Thanks again for your comment -
Gottfried