Zeros of meromorphic functions with poles close to the real axis
type: Item
instance of: scholarly article
title: Zeros of meromorphic functions with poles close to the real axis
zbMATH Open document ID: 1156.30024
published in: Results in Mathematics
publication date: 2008-06-10T00:00:00Z
review text: Let \[ f(z)=\sum_{k=1}^\infty\frac{a_k}{z-z_k},\quad \lim_{k\to\infty}z_k=\infty,\quad \sum_{z_k\not=0}\left| \frac{a_k}{z_k}\right| <\infty. \] If the \(z_k\) lie sufficiently close to the real axis and the \(a_k\) are close in an average sense to the positive real axis then \(f\) has infinitely many zeros.
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 5285856
zbMATH Keywords: Nevanlinna theory
author: James K. Langley
MaRDI profile type: Publication
full work available at URL: s00025-007-0260-6
OpenAlex ID: W2150661835
DOI: 10.1007/S00025-007-0260-6
description: scientific article; zbMATH DE number 5285856