典型文献
Zero Distribution of Solutions of Higher-Order Linear Differential Equations and Zygmund Type Space
文献摘要：
The aim of this paper is to consider the following two problems:(1)Establish interrelationships between the growth of coefficients and the geometric distri-bution of zeros of solutions of non-homogeneous linear differential equation f"+A2(z)f"+A1(z)f'+A0(z)f=A3(z),where Ao(z),…,A3(z)are analytic functions in the unit disc D;(2)Find some sufficient conditions on the analytic coefficients of the differential equation f(k)+Ak-1(z)f(k-1)+…+Ai(z)f'+Ao(z)f=0,for all solutions to belong to the Zygmund type space.The results we obtain are a generalization of some earlier results by Heittokangas,Gr?hn,Korhoneon and R?tty?.
文献关键词：
中图分类号：
作者姓名：
Lipeng XIAO
作者机构：
School of Mathematics and Statistics,Jiangxi Normal University,Jiangxi 330022,P.R.China
文献出处：
引用格式：
[1]Lipeng XIAO-.Zero Distribution of Solutions of Higher-Order Linear Differential Equations and Zygmund Type Space)[J].数学研究及应用,2022(06):599-610
A类：
Establish,+Ak,+Ai,+Ao,Heittokangas,Korhoneon,tty
B类：
Zero,Distribution,Solutions,Higher,Order,Linear,Differential,Equations,Zygmund,Type,Space,aim,this,paper,consider,following,two,problems,interrelationships,between,growth,coefficients,geometric,distri,zeros,solutions,homogeneous,linear,differential,equation,+A2,+A1,+A0,A3,where,are,analytic,functions,unit,disc,Find,some,sufficient,conditions,all,belong,type,space,results,obtain,generalization,earlier,by,Gr,hn
AB值：
0.59343
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