On the equation $f(g(x))=f(x)h^m(x)$ for composite polynomials

Himadri Ganguli, Jonas Jankauskas

In this paper we solve the equation $f(g(x))=f(x)h^m(x)$ where $f(x)$, $g(x)$ and $h(x)$ are unknown polynomials with coefficients in an arbitrary field $K$, $f(x)$ is non-constant…