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

Abstract

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.

6 pages, revised

References in corpus (1)

• On the functional equation f(p(z))=g(q(z)), where p,q are "generalized" polynomials and f,g are meromorphic functions

Cited by in corpus (3)

• Decompositions of Laurent polynomials
• Prime and composite Laurent polynomials
• Analogues of the Jordan-Holder theorem for transitive G-sets