THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

doi:10.1016/S0252-9602(08)60076-4

数学物理学报(英文版)

THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

韩明华; 顾永兴

凯里学院教育系, 贵州凯里 556000

收稿日期:2006-09-05 修回日期:1900-01-01 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 顾永兴
基金资助:
Research supported by NNSF of China (10271122)

THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

Han Minghua; Gu Yongxing

Department of Education, Kaili University, Guizhou 556000, China; College of Mathematics and Physics, Chongqing University, Chongqing 400044, China

Received:2006-09-05 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20
Contact: Gu Yongxing

摘要/Abstract

摘要： Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈F, the zeros of f-c are of multiplicity ≥ k+1, and E_f_(k)(a) ∈E_f(a), E_f_(k)(b) ∈ E_f(b), then F is normal in D.

关键词: Mermorphic functions, normal family, shared values

Abstract: Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈F, the zeros of f-c are of multiplicity ≥ k+1, and E_f_(k)(a) ∈E_f(a), E_f_(k)(b) ∈ E_f(b), then F is normal in D.

Key words: Mermorphic functions, normal family, shared values

中图分类号:

30D35

韩明华; 顾永兴. THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2008, 28(4): 759-762.

Han Minghua; Gu Yongxing. THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS[J]. Acta mathematica scientia,Series B, 2008, 28(4): 759-762.

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THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

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