Prime and Composite Laurent Polynomials

@inproceedings{PAKOVICH2008PrimeAC,
  title={Prime and Composite Laurent Polynomials},
  author={F. PAKOVICH},
  year={2008}
}
  • F. PAKOVICH
  • Published 2008
In his paper [15] Ritt constructed a decomposition theory of polynomials and described explicitly polynomial solutions of the functional equation f(p(z)) = g(q(z)). In this paper we construct a self-contained decomposition theory of rational functions with at most two poles. In particular, we give new proofs of the theorems of Ritt and of the theorem of Bilu and Tichy. Besides, we study general properties of the equation above in the case when f, g, p, q are holomorphic functions on compact… CONTINUE READING
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