Müller, Peter Decompositions of rational functions over real and complex numbers and a question about invariant curves. (English) Zbl 1361.30041 Ill. J. Math. 59, No. 4, 825-838 (2015). 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 Keywords:rational functions; invariant curves PDF BibTeX XML Cite \textit{P. Müller}, Ill. J. Math. 59, No. 4, 825--838 (2015; Zbl 1361.30041) Full Text: Euclid