Acta Mathematica Vietnamica
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ON THE FUNCTIONAL EQUATION $P(f) = Q(g)$ IN NON-ARCHIMEDEAN FIELD
NGUYEN TRONG HOApp. 167-180
Abstract
In this paper, we study the existence of non-constant meromorphic solutions $f$ and $g$ of the functional equation $P(f) = Q(g)$, where $P(z)$ and $Q(z)$ are given nonlinear polynomials with coefficients in the non-Archimedean field $\mathbb K$.