Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on ℙn

被引:0
|
作者
Datt, Gopal [1 ]
Gupta, Naveen [2 ]
Khanna, Nikhil [3 ]
Pal, Ritesh [1 ]
机构
[1] Babasaheb Bhimrao Ambedkar Univ, Dept Math, Lucknow, Uttar Pradesh, India
[2] Indian Inst Sci, Dept Math, Bengaluru, Karnataka, India
[3] Sultan Qaboos Univ, Coll Sci, Dept Math, Muscat, Oman
关键词
complex projective space; holomorphic mapping; hyperplanes in general position; normal families;
D O I
10.1155/jofs/9969004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in & Popf;(n). We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration) and establish a sufficient condition for normality concerning shared hyperplanes.
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页数:7
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