On the complex oscillation of meromorphic solutions of second order linear differential equations in the unit disc

The main purpose of this paper is to investigate the oscillation theory of meromorphic solutions of the second order linear differential equation f ″ + A ( z ) f = 0 for the case where A is meromorphic in the unit disc D = { z : | z | < 1 } .

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 374; no. 1; pp. 272 - 281
Main Authors Cao, Ting-Bin, Zhu, Chuan-Xi, Liu, Kai
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.02.2011
Elsevier
Subjects
Complex oscillation
Differential equation
Exact sciences and technology
Functions of a complex variable
Iterated order
Mathematical analysis
Mathematics
Meromorphic function
Ordinary differential equations
Sciences and techniques of general use
Several complex variables and analytic spaces
Unit disc
Complex oscillation
Iterated order
Differential equation
Unit disc
Meromorphic function
Second order equation
Mathematical analysis
Oscillation
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Summary:The main purpose of this paper is to investigate the oscillation theory of meromorphic solutions of the second order linear differential equation f ″ + A ( z ) f = 0 for the case where A is meromorphic in the unit disc D = { z : | z | < 1 } .
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.08.071