Normal Families and Shared Values concerning　Differential Polynomial

Shi Zhongchun

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Normal Families and Shared Values concerning　Differential Polynomial

Shi Zhongchun * #

Department of mathematics of Chongqing University

*Correspondence author

#Submitted by

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Funding: none

Opened online:28 December 2007

Accepted by: none

Citation: Shi Zhongchun.Normal Families and Shared Values concerning　Differential Polynomial[OL]. [28 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17513

Let F be a family of meromorphic functions on the plane domain D ,all of　whose zeros have multiplicity at least k＞＝1 ,and if f(z)L(w(z)) = a <==>f(k)(z) = b for all f 2 F andz 2 D (where a 6= 0 and b are fixed complex numbers,L(w(z)) be a differential polynomial,m>=2 be a positive integer),then F is normal on D .

Keywords:normal family,meromophic function,shared value,differential polynomial.

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