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Decompositions of rational functions over real and complex numbers and a question about invariant curves. (English) Zbl 1361.30041
Summary: We consider the connection of functional decompositions of rational functions over the real and complex numbers, and a question about curves in the complex plane which are invariant under a rational function.
MSC:
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
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Full Text: Euclid