Real zeros of solutions of second order linear differential equations
type: Item
instance of: scholarly article
title: Real zeros of solutions of second order linear differential equations
zbMATH Open document ID: 0734.34008
author: Cunzhi Huang
published in: Kodai Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The author investigates the second order linear differential equation in the complex plane (1) \(f''+A(z)f=0\), where A(z) is a transcendental entire function of order \(\rho <+\infty\) with \(k=2\rho\) distinct finite asymptotic values. For two linearly independent solutions \(f_ 1\), \(f_ 2\) of (1), the lower exponent of convergence of the zeros (resp. real zeros) of the function \(f_ 1f_ 2\) is determined.
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 30D15
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 4214389
zbMATH Keywords: growth estimates
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: second order linear differential equation in the complex plane
zbMATH Keywords: lower exponent of convergence
zbMATH Keywords: real zeros
reviewed by: A. Klíč
MaRDI profile type: Publication
OpenAlex ID: W2069647513
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DOI: 10.2996/KMJ/1138039341
description: scientific article; zbMATH DE number 4214389