ON THE FUNCTIONAL EQUATION P(f) = Q(g) IN NON-ARCHIMEDEAN FIELD

Nguyen Trong Hoa

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 K..