Rational functions with linear relations
Number Theory
2008-06-09 v1 Dynamical Systems
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.
Cite
@article{arxiv.0705.2182,
title = {Rational functions with linear relations},
author = {Ariane M. Masuda and Michael E. Zieve},
journal= {arXiv preprint arXiv:0705.2182},
year = {2008}
}