Improvement of Marty's Criterion and Its Application

被引：1
|
作者：
陈怀惠
顾永兴
机构：
[1] Department of Mathematics Nanjing Normal University Nanjing 210024 PRC
[2] Department of Applied Mathematics Chongqing University Chongqing 630044 PRC
来源：
Science China Mathematics | 1993年 / 06期
基金：
中国国家自然科学基金;
关键词：
normal family; meromorphic function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Improvement of classical Marty’s criterion for normality of a family of meromorphic functions is given and Zalcman’s theorem for a family which is not normal is improved when the functions in the family have only zeros of degree at least k. As an application, we prove that a family is normal if each function in the family has only poles of degree at least k+2 and satisfies f（k）+af≠b. This improves a theorem of D. Drasin.
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页码：674 / 681
页数：8
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