Hyperbolic Metric and Normal Family

In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of meromorphic functions is normal or not.

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 30; no. 4; pp. 681 - 688
Main Authors Fang, Cai Yun, Pang, Xue Cheng
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.04.2014
Springer Nature B.V
Subjects
Applied mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Meromorphic functions
Normal distribution
Normality
Studies
Theorems
亚纯函数
充分必要条件
双曲度量
家庭
度量和
normal family
Hyperbolic metric
holomorphic function
meromorphic function
30D45
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Summary:In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of meromorphic functions is normal or not.
Bibliography:In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of meromorphic functions is normal or not.
Hyperbolic metric, normal family, holomorphic function, meromorphic function
11-2039/O1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2344-4