Original scientific paper
Complex oscillation of differential polynomials generated by analytic solutions of differential equations in the unit disc
Ting-Bin Cao
; Department of Mathematics, Nanchang University, Nanchang, P.R. China
Lei-Min Li
; Department of Mathematics, Jiangxi Normal University, Nanchang, P.R. China
Hong-Yan Xu
; Department of Informatics andEngineering, Jingdezhen Ceramic Institute, Jingdezhen, P.R. China
Abstract
In this paper, we investigate the complex oscillation
of differential polynomials generated by solutions of differential
equations
\[
f^{''}+A(z)f=0,
\]
where the coefficient $A$ is
analytic in the unit disc $\mathbb{D}=\{z: |z|<1\}.$
Keywords
differential equation; analytic function; iterated order; the unit disc
Hrčak ID:
68637
URI
Publication date:
10.6.2011.
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