On the number of zeros of analytic functions in a neighborhood of a Fuchsian singular point with real spectrum
type: Item
instance of: scholarly article
title: On the number of zeros of analytic functions in a neighborhood of a Fuchsian singular point with real spectrum
zbMATH Open document ID: 0871.34005
author: Moshe Roitman
author: S. Yakovenko
published in: Mathematical Research Letters
publication date: 1996-12-02T00:00:00Z
review text: The authors consider the differential equation \(L(f)=0\), where \(L= a_0(t) \partial^n+ a_1(t)\partial^{n-1}+\dots +a_{n- 1}(t)\partial+a_n(t)\), assuming that \(f\) is analytic in some subset \(K\) of the complex plane, and \(U\) is an open domain that contains \(K\), and finally all the coefficients \(a_j(t)\) \((j=0,1,2,3,\dots, n-1)\), are analytic and bounded in \(U\). The authors find an upper bound for the number of isolated zeros of \(f(t)\) in \(K\) in terms of the magnitudes of the coefficients \(a_j(t)\) in \(U\).
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 942618
zbMATH Keywords: number of zeros of analytic functions in a neighborhood of a fuchsian singular point with real spectrum
zbMATH Keywords: upper bound for the number of isolated zeros
reviewed by: Hussain S. Nur
MaRDI profile type: Publication
full work available at URL: mrl.1996.v3.n3.a6
OpenAlex ID: W2058248533
DOI: 10.4310/MRL.1996.V3.N3.A6
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description: scientific article; zbMATH DE number 942618