On complex oscillation and a problem of Ozawa
type: Item
instance of: scholarly article
title: On complex oscillation and a problem of Ozawa
zbMATH Open document ID: 0609.34041
published in: Kodai Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author proves that if Q(z) is a non-constant polynomial and \(\alpha\in C\), then every nontrivial solution of \(y''+(e^{z+\alpha}+Q(z))y=0\) has zeros with infinite exponent of convergence. Similar methods are used to settle a problem of Ozawa: If P(z) is a non-constant polynomial, then all nontrivial solutions of \(y''+e^{-z}y'+P(z)y=0\) have infinite order.
reviewed by: Pavol Marušiak
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 3985680
zbMATH Keywords: complex oscillation
zbMATH Keywords: second order differential equation
zbMATH Keywords: Wronskian
author: James K. Langley
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037272
OpenAlex ID: W2029529779
cites work: Non-existence of finite order solutions of \(w''+e^{-z}w'+Q(z)w=0\)
cites work: On the Oscillation Theory of f � � + Af = 0 where A is Entire
cites work: Q3037791
cites work: On the zeros of meromorphic solutions of second-order linear differential equations
cites work: On the frequency of zeros of solutions of second order linear differential equations
cites work: Q5822220
cites work: Über die subnormalen Lösungen der Differentialgleichung \(w''+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
cites work: Q5537833
cites work: On the question of whether f″+ e−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
cites work: Slowly growing integral and subharmonic functions
cites work: Q5723337
cites work: Ein Vergleichssatz für komplexe lineare Differentialgleichungen. (A comparison theorem for complex linear differential equations)
cites work: On a solution of \(w''+e^{-z}w'+(az+b)w=0\)
DOI: 10.2996/KMJ/1138037272
description: scientific article; zbMATH DE number 3985680