Normal criteria of function families related to a result of Drasin
type: Item
instance of: scholarly article
title: Normal criteria of function families related to a result of Drasin
zbMATH Open document ID: 1239.30018
DOI: 10.1155/2011/826164
author: Bing Zhu
author: Jianming Lin
author: Wenjun Yuan
published in: Discrete Dynamics in Nature and Society
publication date: 2012-01-23T00:00:00Z
review text: Summary: We study the normality of families of meromorphic functions related to a result of \textit{D. Drasin} [Acta Math. 122, 231--263 (1969; Zbl 0176.02802 )]. We consider whether a family \(\mathcal F\) of meromorphic functions without zeros is normal in \(D\), if for every pair of functions \(f\) and \(g\) in \(\mathcal F\), \(f\) and \(g\) share \(\infty\) or \(H(f) - 1\) and \(H(g) - 1\) share 0, where \(H(f) := f^{(k)}(z) + a_{k-1}f^{(k-1)}(z) + \cdots + a_0f(z)\). Some examples show that the conditions in our results are best possible.
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 5999658
zbMATH Keywords: normal family
zbMATH Keywords: shared values
zbMATH Keywords: shared function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/826164
OpenAlex ID: W2088088430
Wikidata QID: Q58655545
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description: scientific article; zbMATH DE number 5999658