# Tetration Forum

Full Version: [2014] Uniqueness of periodic superfunction
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Let $F(z)$ be a periodic superfunction of a real-entire $f(z)$.

If $f(z)$ has no parabolic fixpoints and $f(z)$ has exactly $n$ pairs of $(z_i,z_j)$ where $z_i$ is a repelling fixpoint and $z_j$ is an attracting fixpoint , then there are at most $n$ solutions $F(z)$.

This relates to

http://math.eretrandre.org/tetrationforu...hp?tid=932

and

http://www.ams.org/journals/mcom/2010-79.../home.html

and

http://math.eretrandre.org/tetrationforu...php?tid=89

Regards

tommy1729