Abstract
We consider the set of finite Blaschke products $F$ for which the fixed points on the circle $S^1$ are expanding and we prove that if $F'(x) \ne F'(y)$ for all different fixed points $x,y$ of $F$ on $S^1$, then $F$ commutes only with its own powers.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
3 articles.
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1. On a Theorem of Ritt for Commuting Finite Blaschke Products;Complex Variables, Theory and Application: An International Journal;2003-08
2. When do finite Blaschke products commute?;Bulletin of the Australian Mathematical Society;2001-10
3. Centralizers of finite Blaschke products;Boletim da Sociedade Brasileira de Matem�tica;2000-06