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math.CV2008★ 2 cited
On the equation P(f)=Q(g), where P,Q are polynomials and f,g are entire functions
F. Pakovich
In 1922 Ritt described polynomial solutions of the functional equation P(f)=Q(g). In this paper we describe solutions of the equation above in the case when P,Q are polynomials whi…
math.CV2008★ 3 cited
Algebraic curves P(x)-Q(y)=0 and functional equations
F. Pakovich
In this paper we give several conditions implying the irreducibility of the algebraic curve P(x)-Q(y)=0, where P,Q are rational functions. We also apply the results obtained to the…