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+--- Thread: [2014] Uniqueness of periodic superfunction (/showthread.php?tid=933)
[2014] Uniqueness of periodic superfunction - tommy1729 - 11/09/2014
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/tetrationforum/showthread.php?tid=932
and
http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html
and
http://math.eretrandre.org/tetrationforum/showthread.php?tid=89
Regards
tommy1729