Creating limit functions by the Pang-Zalcman lemma
type: Item
instance of: scholarly article
title: Creating limit functions by the Pang-Zalcman lemma
zbMATH Open document ID: 1297.30052
author: Shai Gul
author: Shahar Nevo
published in: Kodai Mathematical Journal
publication date: 2012-08-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1010.4664
full work available at URL: https://projecteuclid.org/euclid.kmj/1341401052
review text: The authors calculate the collection of limit functions obtained by applying a modification of \textit{L. Zalcman}'s lemma [Am. Math. Mon. 82, 813--817 (1975; Zbl 0315.30036)] due to \textit{X. Pang} [Sci. China, Ser. A 32, No. 7, 782--791 (1989; Zbl 0687.30023)] to the non-normal family \(\{f(nz):n\in\mathbb{N}\}\) in \(\mathbb{C}\). Here \(f\) is of the form \(f=R\exp(P)\), where \(R\) is an arbitrary rational function and \(P\) is an arbitrary non-constant polynomial.
reviewed by: Risto Korhonen
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 30D30
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 6073748
zbMATH Keywords: normal family
zbMATH Keywords: Zalcman lemma
zbMATH Keywords: spherical metric
MaRDI profile type: Publication
OpenAlex ID: W2127871427
arXiv ID: 1010.4664
DOI: 10.2996/KMJ/1341401052
Wikidata QID: Q125031132
description: scientific article; zbMATH DE number 6073748