On the functional equation \(P(f)=Q(g)\) in non-Archimedean field
type: Item
instance of: scholarly article
title: On the functional equation \(P(f)=Q(g)\) in non-Archimedean field
zbMATH Open document ID: 1158.30033
author: Nguyen Trong Hoa
published in: Acta Mathematica Vietnamica
publication date: 2007-02-05T00:00:00Z
review text: The author finds conditions on nonlinear polynomials \(P\) and \(Q\) over a complete non-Archimedean field \(K\), under which no non-constant meromorphic functions \(f,g\) on \(K\) can satisfy the functional equation \(P(f)=Q(g)\). For some related results regarding, in particular, meromorphic solutions on a disk, see \textit{A. Escassut} and \textit{C.-C. Yang} [J. Number Theory 105, No. 2, 344--360 (2004; Zbl 1054.30043)].
Mathematics Subject Classification ID: 30G06
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 5122047
zbMATH Keywords: meromorphic function
zbMATH Keywords: non-Archimedean field
reviewed by: Anatoly N. Kochubei
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5122047