A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
type: Item
instance of: scholarly article
title: A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
zbMATH Open document ID: 0799.30019
DOI: 10.1007/BF02835957
author: Chungchun Yang
author: Hongxun Yi
published in: Journal d'Analyse Mathématique
publication date: 1994-11-22T00:00:00Z
review text: The authors continue their work on uniqueness theorem arising from common point properties. Their main result here is the theorem: If \(f\) and \(g\) are two meromorphic functions with \(\theta(\infty,f)= \theta(\infty,g)= 1\) and if \(f^{(n)}= 1\) if and only if \(g^{(n)}= 1\) and \(\delta(0,f)+ \delta(0,g)> 1\), then either \(f\equiv q\) or \(f^{(n)} g^{(n)}\equiv 1\).
reviewed by: Fred Gross
Mathematics Subject Classification ID: 30D30
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 569438
zbMATH Keywords: value sharing
zbMATH Keywords: uniqueness Theorem
MaRDI profile type: Publication
cites work: Exceptional values of a meromorphic function and its derivatives
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cites work: Unicity theorems for entire functions
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cites work: On two entire functions which together with their first derivatives have the same zeros
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full work available at URL: https://doi.org/10.1007/bf02835957
OpenAlex ID: W3013484221
description: scientific article; zbMATH DE number 569438