09/07/2009, 06:30 PM
(09/07/2009, 06:16 PM)Ansus Wrote: Is it already proven that holomorphic tetration is unique?
You mean holomorphic = holomorphic on \( \mathbb{C}\setminus (-\infty,-2] \)?
There is even an entire tetration (regular sexp at a complex fixed point) which though is not real on the real axis.
Dmitrii's approach via lemma about almost identical functions (also somewhere on the forum) has gaps yet.
