On the growth of entire curves of lower order smaller than one
type: Item
instance of: scholarly article
title: On the growth of entire curves of lower order smaller than one
zbMATH Open document ID: 0629.32006
DOI: 10.1007/BF01057227
author: A. V. Krytov
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Let \(G:{\mathbb{C}}\to {\mathbb{C}}^ p\) be an entire curve and let \(a\in {\mathbb{C}}^ p\). Define \(\mu (r,a,G)=\min \{Ln(\| G(z)\| \| a\| /| <G(z),a>|): | z| =r\}\) and \(\alpha (a,G)=\limsup_{r\to \infty} (\mu (r,a,G)/T(r,G)).\) The author gives estimates of \(\alpha\) (A,G) in terms of standard growth indicators for entire curves. Some of the estimates are similar to known inequalities for meromorphic functions of order zero.
Mathematics Subject Classification ID: 32A22
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 4023685
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: entire curves
reviewed by: M. Klimek
MaRDI profile type: Publication
cites work: Sur une relation entre la croissance et le nombre de valeurs déficientes de fonctions algébroï des ou de systèmes
cites work: Sur la croissance de fonctions algébroides à valeurs déficientes
cites work: On meromorphic functions of order zero
cites work: Regularity of the growth of meromorphic functions and entire curves
cites work: Q3719007
full work available at URL: https://doi.org/10.1007/bf01057227
OpenAlex ID: W2061908793
description: scientific article; zbMATH DE number 4023685