α-normal functions and complex differential equations

被引：0

作者：

Wulan, H ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Dept Math, Hohhot 010022, Peoples R China

来源：

FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS | 2000年 / 214卷

关键词：

alpha-normal functions; Nevanlinna characteristic function; meromorphic solutions; algebraic differential equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A function f meromorphic in the unit disk D is called an alpha -normal if sup(z is an element ofD)(1-\z \)alpha f#(z)6 < infinity, alpha > 0, where f#(z) = 3D \/(1 + \f(z)\ (2)). Some integral characterizations and the value distribution of alpha -normal functions are given. the relationship between alpha -normal functions and the meromorphic solutions of algebraic differential equations are also considered.

引用

页码：605 / 616

页数：12

共 13 条

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[10] WULAN H, 1994, MATH MONTISNIGRI, V3, P45

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