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On the complex oscillation theory of analytic solutions of linear differential equations in the unit disc
Cao Tingbin 1 * #,Yi Hongxun 2
1.Nanchang University
2.Shandong University
*Correspondence author
#Submitted by
Subject:
Funding: 教育部高校博士点专项基金（No.20060422049）
Opened online: 4 June 2007
Accepted by: none
Citation: Cao Tingbin,Yi Hongxun.On the complex oscillation theory of analytic solutions of linear differential equations in the unit disc[OL]. [ 4 June 2007] http://en.paper.edu.cn/en_releasepaper/content/13232
 
 
The complex oscillation theory of linear differential equations of the form $$L(f)=f^{(k)}+A_{k-1}(z)f^{(k-1)}+cdots+A_{0}(z)f=F(z)quad(kin textbf{N}),$$ where the coefficients $A_{j}(z) (j=0,cdots,k-1)$ and $F(z)$ are analytic functions in the unit disc $Delta={z:|z|<1},$ is investigated. We obtain several precise theorems about the hyper order, the hyper convergence exponent of zero points and fixed points of solutions of differential equations.
Keywords:linear differential equation; analytic function; complex oscillation theory; unit disc
 
 
 

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