分担值与亚纯函数族的正规性

Abstract

Abstract:

This paper proved some theorems on the normality of families of meromorphic functions which share values along with their derivatives.
The results improved a theorem of holomorphic functions.

Key words: Normal family, Meromorphic functions, Shared value

CLC Number:

30D35

Cite this article

DUAN Xi-Sheng, XIE Li. Shared Value and Normality of Families of Meromorphic Functions[J].Acta mathematica scientia,Series A, 2013, 33(2): 242-245.

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References

[1] 顾永兴, 庞学诚, 方明亮. 正规族及其应用. 北京:科学出版社, 2007

[2] Pang X C, Zacman L. Normal families and shared values. Bull London Math Soc, 2000, 32: 325--331

[3] Clunie J, Hayman W. The spherical derivatives of integral and meromorphic functions. Comment Math Helv, 1996, 40: 117--148

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Shared Value and Normality of Families of Meromorphic Functions

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