Normal families of zero-free meromorphic functions
type: Item
instance of: scholarly article
title: Normal families of zero-free meromorphic functions
zbMATH Open document ID: 1247.30054
DOI: 10.1155/2012/908123
author: Yuntong Li
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: Let \(a, b \in \mathbb C\), \(a\neq 0\), and \(n\) and \(k\) be two positive integers such that \(n \geq 2\). Let \(\mathcal F\) be a family of zero-free meromorphic functions defined in a domain \(\mathcal D\) such that for each \(f \in \mathcal F\), \(f + a(f^{(k)})^n - b\) has at most \(nk\) zeros, ignoring multiplicity. Then \(\mathcal F\) is normal in \(\mathcal D\).
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 6078832
zbMATH Keywords: normal families
zbMATH Keywords: zero-free meromorphic functions
Wikidata QID: Q58697065
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/908123
OpenAlex ID: W2012071517
cites work: Q4209079
cites work: On the characteristic of functions meromorphic in the unit disk and of their integrals
cites work: Picard values of meromorphic functions and their derivatives
cites work: Über ein Problem von Hayman
cites work: A Picard type theorem and Bloch law
cites work: On the value distribution of \(f +a(f\prime)^n\)
cites work: Picard values and normal families of meromorphic functions
cites work: Normality and quasinormality of zero-free meromorphic functions
cites work: Q3226765
cites work: Normal Families and Shared Values
description: scientific article; zbMATH DE number 6078832