Illinois Journal of Mathematics

Decompositions of rational functions over real and complex numbers and a question about invariant curves

Peter Müller

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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.

Article information

Illinois J. Math., Volume 59, Number 4 (2015), 825-838.

Received: 19 March 2015
Revised: 20 September 2016
First available in Project Euclid: 27 February 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] 37F10: Polynomials; rational maps; entire and meromorphic functions [See also 32A10, 32A20, 32H02, 32H04]
Secondary: 14H52: Elliptic curves [See also 11G05, 11G07, 14Kxx] 20B05: General theory for finite groups


Müller, Peter. Decompositions of rational functions over real and complex numbers and a question about invariant curves. Illinois J. Math. 59 (2015), no. 4, 825--838. doi:10.1215/ijm/1488186011.

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