On maximum modulus points and the zero set for an entire function of either zero or infinite order
type: Item
instance of: scholarly article
title: On maximum modulus points and the zero set for an entire function of either zero or infinite order
zbMATH Open document ID: 1071.30025
author: Adem Ersin Üreyen
published in: Computational Methods and Function Theory
publication date: 2005-07-06T00:00:00Z
review text: Let \(f\) be an entire function. Let \(w\) be a point such that \(| f (w)| = \max \{| f (z)| : | z| = | w| \}\) and \(R(w,f)\) be the distance between the point \(w\) and the zero set of \(f.\) The author has obtained the asymptotic estimates for the function \(R(w,f), | w| \to \infty,\) when \(f\) is the entire function of either zero or infinite order.
reviewed by: P. Z. Agranovich
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 2186784
zbMATH Keywords: entire function
zbMATH Keywords: zero order
zbMATH Keywords: infinite order
zbMATH Keywords: proximate order
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2186784