Uniqueness of meromorphic function with deficient values
type: Item
instance of: scholarly article
zbMATH Open document ID: 0984.30018
author: Gangdi Qiu
publication date: 2002-01-02T00:00:00Z
Mathematics Subject Classification ID: 30D30
zbMATH DE Number: 1610437
zbMATH Keywords: meromorphic function
zbMATH Keywords: share value
zbMATH Keywords: uniqueness theorem
MaRDI profile type: Publication
title: Uniqueness of meromorphic function with deficient values
published in: Journal of Mathematical Study
review text: Suppose that two non-constant meromorphic functions \(f,g\) share two values \(1,\infty\) \(CM\) and a value 0 \(IM\). If \(f\not\equiv g\) and NEWLINE\[NEWLINE2N\left( r,{1\over f-a}\right) +{3\over 2}N_{(2} \left(r, {1\over f}\right) +{3\over 2} N_{(2} \left(r, {1\over g}\right)NEWLINE\]NEWLINE NEWLINE\[NEWLINE<\bigl( \lambda+o(1) \bigr)T(r,f) (r\notin E,\lambda <1,a\neq 0,1,\infty),NEWLINE\]NEWLINE then \(f\neq a\) and one of the following cases holds: (1) \(f\equiv ag\). (2) \(f-(1-a)g\equiv a\), (3) \((f-a)(g+a-1)\equiv a(1-a)\).
reviewed by: Daochun Sun
description: scientific article; zbMATH DE number 1610437