Normal families of meromorphic functions and shared values
type: Item
instance of: scholarly article
title: Normal families of meromorphic functions and shared values
zbMATH Open document ID: 1253.30047
author: Xiangzhong Wu
author: Yan Xu
published in: Monatshefte für Mathematik
publication date: 2012-03-23T00:00:00Z
review text: In [Arch. Math. 59, No. 1, 50--54 (1992; Zbl 0758.30028)], \textit{W. Schwick} first proved a normality criterion for a family of meromorphic functions which involves value sharing. This result inspired a number of researchers to establish normality criteria using the concept of value sharing. In the paper under review the authors prove two normality criteria for a family of meromorphic functions when \(P(f)f^{(k)}\) and \(P(g)g^{(k)}\) share a nonzero value for every pair of functions \(f\), \(g\) of the family, where \(P\) is a polynomial having some special properties.
reviewed by: Indrajit Lahiri
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 6018272
zbMATH Keywords: meromorphic function
zbMATH Keywords: normal family
zbMATH Keywords: shared value
MaRDI profile type: Publication
full work available at URL: s00605-010-0272-2
OpenAlex ID: W2020745540
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DOI: 10.1007/S00605-010-0272-2
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description: scientific article; zbMATH DE number 6018272