Angular Distribution with Hyper-Order in Complex Oscillation Theory
Angular Distribution with Hyper-Order in Complex Oscillation Theory
复制标题
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Huang Zong
中科院分区：
文献类型：
--
作者：
Huang Zong
设f_1和f_2为微分方程f″+A(z)f=0的两个线性独立解，其中A(z)为阶数a(A)=+∞且超阶σ_2(A)=0的整函数。设E=f_1f_2。本文研究方程f″+A(z)f=0的解在角域中的零点分布。零点簇射线与E的Borel方向之间的关系超阶+∞成立。
Let f_1 and f_2 be two linearly independent solutions of the differential equation f″+A(z)f=0,where A(z) is an entire function with order a(A)=+∞and hyper-orderσ_2(A)=0.Set E=f_1f_2.In this paper,we investigate the zeros distribution of solutions of equation f″+ A(z)f=0 in an angular domain.A relation between a cluster ray of the zeros and Borel direction of E with hyper order+∞is established.