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arXiv · 0705.2182

Rational functions with linear relations

Ariane M. Masuda·Michael E. Zieve
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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.

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Ariane M. Masuda, Michael E. Zieve. 2007-05-15. Rational functions with linear relations. https://arxiv.org/abs/0705.2182

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