Separation of zeros of translates of polynomials and entire functions
type: Item
instance of: scholarly article
title: Separation of zeros of translates of polynomials and entire functions
zbMATH Open document ID: 0880.30008
author: O. Diekmann
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-01-19T00:00:00Z
review text: For an entire function \(f\) with zeros (a), \(\delta(f)= \inf\{|a_i-a_j|: i\neq j\}\) is called the separation of zeros. In his earlier paper [Am. Math. Mon. 100, No. 3, 272-273 (1993; Zbl 0767.26010)] the author showed that \(\delta (f-kf) >\delta (f)\) for all \(k \mathbb{R}\), and in two later papers [J. Aust. Math. Soc., Ser. A 59, No. 2, 330-342 (1995; Zbl 0873.26006), Proc. Edinb. Math. Soc., II. Ser. 39, No. 3, 357-363 (1996; Zbl 0853.26009)] gave estimates of the increase of the separation of zeros. In the present paper the author gives the extensions of these results to entire functions of order less than 2.
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 1005583
reviewed by: Janusz Matkowski
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5232
OpenAlex ID: W2072302720
cites work: A Short Proof of a Result on Polynomials
cites work: AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
cites work: Separation of the Zeros of Polynomials
cites work: Q4881074
cites work: Upper bounds for the separation of real zeros of polynomials
DOI: 10.1006/JMAA.1997.5232
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description: scientific article; zbMATH DE number 1005583