[1]吕凤姣,刘芝秀.关于亚纯函数的正规族[J].四川师范大学学报(自然科学版),2019,(06):803-807.[doi:10.3969/j.issn.1001-8395.2019.06.015]
 L Fengjiao,LIU Zhixiu.Normal Families of Meromorphic Functions[J].Journal of SichuanNormal University,2019,(06):803-807.[doi:10.3969/j.issn.1001-8395.2019.06.015]
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关于亚纯函数的正规族()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年06期
页码:
803-807
栏目:
基础理论
出版日期:
2019-11-04

文章信息/Info

Title:
Normal Families of Meromorphic Functions
文章编号:
1001-8395(2019)06-0803-05
作者:
吕凤姣1 刘芝秀2
1.黄河科技学院 信息工程学院, 河南 郑州 450063; 2.南昌工程学院 理学院, 江西 南昌 330099
Author(s):
LÜ Fengjiao1 LIU Zhixiu2
1.Department of Information Engineering, Huanghe Science and Technology College, Zhengzhou 450063, Henan; 2.Department of Science, Nanchang Institute of Technology, Nanchang 330099, Jiangxi
关键词:
正规族 全纯函数 亚纯函数 分担值
Keywords:
normal family entire function meromorphic function sharing value
分类号:
O174.52
DOI:
10.3969/j.issn.1001-8395.2019.06.015
文献标志码:
A
摘要:
亚纯函数正规族是亚纯函数的值分布理论的一个重要课题.主要讨论分担值的全纯函数族和亚纯函数族的正规性,得到的几个结果是文献(Fang M L, Zalcman L.Comput Meth Funct Theory,2001,1:289-299.)一个结果的改进和补充.正规族的相关理论在复动力系统和复微分方程等方面都有着重要的应用.
Abstract:
The normal family of meromorphic functions is an important subject of the value distribution theory of meromorphic functions.In this paper, we discuss the meromorphic function family concerning shared values and the normality of holomorphic function family, and get some results which improve and supple results of(Fang M L, Zalcman L.Comput Meth Funct Theory,2001,1:289-299.).The related theories of normal families have important applications in complex dynamical systems and complex differential equations.

参考文献/References:

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[5] FANG M L, ZALCMAN L.Normal families and shared values of meromorphic functions[J].Comput Meth Funct Theory,2001,1:289-299.
[6] PANG X C, ZALCMAN L.Normal families and share values[J].Bull London Math Soc,2000,32(3):325-331.
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[11] LIU X J, PANG X C.A normal criterion about two families of meromorphic functions concering shared values[J].Acta Math Sinica(Engl Ser),2013,29(1):151-158.

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[3]黄沙.Clifford分析与双曲型方程[J].四川师范大学学报(自然科学版),1994,(02):0.
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备注/Memo

备注/Memo:
收稿日期:2018-01-10 接受日期:2018-12-20 基金项目:国家自然科学基金(U1304102和11301140) 第一作者简介:吕凤姣(1983—),女,副教授,主要从事复分析及其应用的研究,E-mail:lvfengjiao_2008@163.com
更新日期/Last Update: 2019-11-04