Tetration Forum

Check out Math Overflow, they are posting questions relevant to the research of the Tetration Forum's users.

I am trying to track relevant questions on my Math Overflow favorites.

f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.

What’s a natural candidate for an analytic function that interpolates the tower function?

solving f(f(x))=g(x)

Thank you, Daniel, for hinting to this interesting site!
I didnt know it before and think this site is a very beneficial idea (for humankind or at least the mathematically interested humankind).

My favourite is:
Does the exponential function have a square root?

I will give a comprehensive answer as soon as I got the time.

edit: Oh I see its similar to:
What’s a natural candidate for an analytic function that interpolates the tower function?
Where some people from our forum gave some hints already.

Math Overflow has added a fractional-iteration tag we can now use to make and track questions of interest to us.