On normal families
type: Item
instance of: scholarly article
title: On normal families
zbMATH Open document ID: 1062.30030
published in: Arab Journal of Mathematical Sciences
publication date: 2005-02-21T00:00:00Z
review text: As main results of this paper, the author proves that a family of meromorphic functions \(f\) on the unit disc is normal if \(f\) satisfy either of the following conditions: (1) \(f(f')^m\) omits the value one, \(m\geq 2\); (2) \(f\neq 0\), \(f(f^{(k)})^m\) omits the value one, \(k,m\in \mathbb N\).
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 2135472
zbMATH Keywords: normal family
zbMATH Keywords: differential polynomial
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: meromorphic function
author: Abdullah Alotaibi
reviewed by: Zengjian Lou
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2135472