Quasinormality of order 1 for families of meromorphic functions
type: Item
instance of: scholarly article
title: Quasinormality of order 1 for families of meromorphic functions
zbMATH Open document ID: 1063.30034
author: Shahar Nevo
author: Xuecheng Pang
published in: Kodai Mathematical Journal
publication date: 2005-03-30T00:00:00Z
review text: Both normality and quasinormality of meromorphic functions were introduced by Montel. However, the quasinormality is not as far-reaching as the normality. The authors continued their study of quasinormality of meromorphic functions on a domain in this paper. They proved that for a given integer \(k\geq 1\) and a domain \(D\subset\mathbb{C}\), a quasinormal family \(\mathcal F\) of meromorphic functions on \(D\), all of whose zeros have multiplicity \(\geq k+1\), is quasinormal of order one, if \(f^{(k)}(z)\not=1\) for each \(f\in\mathcal F\) and \(z\in D\).
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 2149312
zbMATH Keywords: meromorphic functions
zbMATH Keywords: normal family
zbMATH Keywords: quasinormal family
reviewed by: Jianming Chang
MaRDI profile type: Publication
OpenAlex ID: W2086356866
DOI: 10.2996/KMJ/1093351322
description: scientific article; zbMATH DE number 2149312