THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

Han Minghua; Gu Yongxing

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

Acta mathematica scientia, Series B >

2008 , Vol. 28 >Issue 4: 759 - 762

DOI: https://doi.org/10.1016/S0252-9602(08)60076-4

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THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

Han Minghua ,
Gu Yongxing

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

Received date: 2006-09-05

Revised date: 1900-01-01

Online published: 2008-10-20

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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

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Han Minghua , Gu Yongxing . THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS[J]. Acta mathematica scientia, Series B, 2008 , 28(4) : 759 -762 . DOI: 10.1016/S0252-9602(08)60076-4

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