[2014] Uniqueness of periodic superfunction

[tommy1729]

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