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Rational functions with linear relations
Authors:Ariane M. Masuda   Michael E. Zieve
Affiliation:School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON K1S 5B6, Canada ; Center for Communications Research, 805 Bunn Drive, Princeton, New Jersey 08540
Abstract:We find all polynomials $ f,g,h$ over a field $ K$ such that $ g$ and $ h$ are linear and $ f(g(x))=h(f(x))$. We also solve the same problem for rational functions $ f,g,h$, in case the field $ K$ is algebraically closed.

Keywords:Functional equation   commuting rational functions
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