06/19/2009, 11:41 AM
(This post was last modified: 06/19/2009, 11:44 AM by Kouznetsov.)

(06/19/2009, 08:51 AM)bo198214 Wrote: If is a function holomorphic and single valued on the complement of a closed countable set in the extended complex plane. Let two fixed points of such that and . Then the regular iterations at and are equal if and only if is a fractional linear function. ...Example: for positive b, let f(z)=z^b.

It has fixed points 0 and 1.

The superfunction for such f is F(z)=exp(b^z)

Does it correspond to some fractional linear Schroeder?