Normal families of meromorphic functions

被引：0

作者：

马朝伟

机构：

[1] DepartmentofMathematicsandPhysics,ChongqingUniversity

来源：

JournalofChongqingUniversity(EnglishEdition) | 2007年 / 04期

关键词：

meromorphic functions; normal family; shared values;

D O I：

暂无

中图分类号：

O174.52 [整数函数论、亚纯函数论（半纯函数论）];

学科分类号：

070104 ;

摘要：

A normal theorem concerning meromorphic functions sharing values was proved with the method of Zalcman- Pang.The theorem is as follows. If for each f in F, all zeros of f-a have multiplicity at least k (k≥2), f and its k-th derivative function share a, and if f=b whenever its k-th derivative equal b, then F is normal in D. This theorem improved the result of Chen and Fang [Chen HH, Fang ML, Shared values and normal families of meromorphic functions, Journal of Mathematical Analysis and Applications, 2001, 260: 124-132].

引用

页码：299 / 301

页数：3

共 3 条

[1] Normal families and shared values of holomorphic functions [J].

Li J. ;

Yi H. .

Applied Mathematics-A Journal of Chinese Universities, 2006, 21 (3) :335-342

[2] On Homogeneous Differential Polynomials of Meromorphic Functions [J].

Wei Chuan LIN Department of MathematicsShantou UniversityShantou PRChina and Department of MathematicsFujian Teachers UniversityFuzhou PRChina Emailsxlwc fjnueducnHong Xun YI Department of MathematicsShandong UniversityJinan PRChina Emailhxyisdueducn .

Acta Mathematica Sinica(English Series), 2005, 21 (02) :261-266

[3] Shared values and normal families of meromorphic functions [J].

Chen, HH ;

Fang, ML .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :124-132

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