On dependence of meromorphic functions sharing some finite sets IM
type: Item
instance of: scholarly article
title: On dependence of meromorphic functions sharing some finite sets IM
zbMATH Open document ID: 1337.30044
author: Manabu Shirosaki
published in: Proceedings of the Japan Academy. Series A
publication date: 2016-03-11T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1449080125
review text: In connection with Nevanlinna's five-value theorem, the author shows that if \(n+1\) meromorphic functions \(f_1,\dots,f_{n+1}\) on \(\mathbb{C}\) sharing some finite sets IM (ignoring multiplicities), then there exists a Möbius transformation \(T\) such that \(T(f_1)+\cdots+T(f_{n+1})=0\).
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30D99
zbMATH DE Number: 6554944
zbMATH Keywords: meromorphic function
zbMATH Keywords: sharing sets
zbMATH Keywords: uniqueness theorems
zbMATH Keywords: Möbius transformation
MaRDI profile type: Publication
OpenAlex ID: W2252876956
cites work: Q5723337
cites work: Elliptic Curves with Surjective Adelic Galois Representations
DOI: 10.3792/PJAA.91.147
description: scientific article; zbMATH DE number 6554944