关于复域差分的值分布

周利利; 黄志刚; 孙桂荣

doi:10.3969/j.issn.1000-5641.2015.03.001

关于复域差分的值分布

doi: 10.3969/j.issn.1000-5641.2015.03.001

1.
苏州科技学院数理学院, 江苏苏州215009

基金项目:

国家自然科学基金(11001057); 江苏省自然科学基金(BK2010234); 江苏省青蓝工程中青年学术带头人项目;苏州科技学院科研基金项目

详细信息

作者简介:
周利利, 女, 硕士研究生, 研究方向为复分析

通讯作者:
周利利, 女, 硕士研究生, 研究方向为复分析

中图分类号: O174.5
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- 被引次数: 0
出版历程
- 收稿日期: 2014-10-20
- 刊出日期: 2015-05-25

On the value distribution of complex difference

摘要

摘要: 研究了复域差分\varphi _1(z)=\frac{f(z+c)}{(f(z))^k}-a(f(z))^n$和$\varphi _2(z)=\frac{\prod\limits_{i=1}^m {f(z+c_i )}}{(f(z))^k}-a(f(z))^n$的值分布. 从Nevanlinna理论的角度,我们得到了它们的一些性质.
- 复域差分 /
- 差分多项式 /
- 超越亚纯函数 /
- 增长级
Abstract: In this paper, we investigate the value distribution of difference $\varphi_1 (z)=\frac{f(z+c)}{(f(z))^k}-a(f(z))^n$ and \varphi _2 (z)=\frac{\prod\limits_{i=1}^m {f(z+c_i )}}{(f(z))^k}-a(f(z))^n. From the viewpoint of the Nevanlinna theory, we obtained some results in analogy with Picard Theorem.
- complexdifferencedifference polynomialtranscendentalmeromorphic functionthe growth of order /

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