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arxiv: math/0605016 · v2 · pith:WRFTZBGOnew · submitted 2006-04-30 · 🧮 math.CV

On the functional equation F(A(z))=G(B(z)), where A,B are polynomial and F,G are continuous functions

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keywords continuousequationfunctionsdescribefunctionalnotepolynomialpolynomials
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In this note we describe solutions of the equation: $F(A(z))=G(B(z)),$ where $A,B$ are polynomials and $F,G$ are continuous functions on the Riemann sphere.

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