涉及分担值的亚纯函数的正规性

涉及分担值的亚纯函数的正规性

宋红伟 ¹, 叶亚盛²

1. 河南科技大学理学院, 河南洛阳 471003； 2. 上海理工大学理学院, 上海 200093

收稿日期:2007-12-18 修回日期:1900-01-01 出版日期:2008-11-26 发布日期:2008-11-26
通讯作者: 叶亚盛

Normality of Meromorphic Functions with Shared Values

SONG Hongwei¹, YE Yasheng²

1. College of Science, Henan University of Science and Technology, Luoyang 471003, Henan Province, China;2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2007-12-18 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
Contact: YE Yasheng

摘要/Abstract

摘要： 研究一类亚纯函数族在分担值条件下的正规性. 设F 是单位圆Δ上的亚纯函数族, a≠b, b≠0, c≠0是3个有穷复数, 任意f∈F, f(z)零点的重数至少为k(k≥2), F在Δ上正规.

关键词: 亚纯函数, 分担值, 正规定则

Abstract: The normality of meromophic functions with shared values is dealt with and the following result is achieved. Let Fbe a family of m eromorphic functions on the unit circle Δ , and a≠b, b≠0, c≠0 are finite complex  numbers. For f∈F, the zeros of f(z) are of mulitiplicity, at least, k(k≥2). F is normal on unit circle Δ.

Key words: meromophic function, share value, normal criterion 

宋红伟 , 叶亚盛. 涉及分担值的亚纯函数的正规性[J]. J4, 2008, 46(06): 1049-1052.

SONG Hongwei, YE Yasheng. Normality of Meromorphic Functions with Shared Values[J]. J4, 2008, 46(06): 1049-1052.

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[2]	杨端阳, 叶亚盛. 与分担值相关亚纯函数的正规性[J]. 吉林大学学报(理学版), 2016, 54(01): 15-20.