Is tetration analytic?

[JmsNxn]

Wooha.... sweet proof... Ramanujan, Ramanujan everywhere xDDD

I forgot that thing about interpolation using Rmanujan...

Well you don't actually use Ramanujan to make that interpolation, you'd use a Weierstrass product.

This also isn't Ramanujan's proof, his proof is more involved and actually constructs a hierarchy of slow growing functions.

I just warote a quick proof to settle your question is all.

But yeah, I stole a lot from ramanujan