Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem
type: Item
instance of: scholarly article
title: Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem
zbMATH Open document ID: 1116.30024
DOI: 10.1007/BF03321622
published in: Computational Methods and Function Theory
publication date: 2007-05-14T00:00:00Z
review text: Let \(s_n (z):=\sum_{k=0}^{n}\frac{z^k}{k!}\) denote the \(n\)th partial sum of the exponential function \(e^z\). The paper under review is devoted to the investigation of the angular distribution of the zeros of the normalized partial sums \(s_n (nz)\). The authors consider this problem in the setting of an inverse problem of potential theory and prove an Erdős-Turán-type theorem.
reviewed by: George Csordas
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 31A15
zbMATH DE Number: 5152626
zbMATH Keywords: Szegő curve
zbMATH Keywords: logarithmic potential
zbMATH Keywords: harmonic measure
author: V. V. Andrievskii
author: Amos J. Carpenter
author: Richard S. Varga
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5152626