Normal families of meromorphic functions sharing one function

被引：0

作者：

Ling Qiu

FeiFei Hu

机构：

[1] Beijing University of Technology,College of Applied Science

来源：

Journal of Inequalities and Applications | / 2013卷

关键词：

meromorphic function; normal family; shared holomorphic function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Suppose p(z) is a holomorphic function, the multiplicity of its zeros is at most d, P(z) is a nonconstant polynomial. Let ℱ be a family of meromorphic functions in a domain D, all of whose zeros and poles have multiplicity at least max{k2+d+1,k+d}. If for each pair of functions f and g in ℱ, P(f)f(k) and P(g)g(k) share a holomorphic function p(z), then ℱ is normal in D. It generalizes and extends the results of Jiang, Gao and Wu, Xu.

引用

共 17 条

[11]

Wu XZ(1962)On the integral and meromorphic functions J. Lond. Math. Soc 37 17-27

[12]

Xu Y(undefined)undefined undefined undefined undefined-undefined

[13]

Pang XC(undefined)undefined undefined undefined undefined-undefined

[14]

Zalcman L(undefined)undefined undefined undefined undefined-undefined

[15]

Hua XH(undefined)undefined undefined undefined undefined-undefined

[16]

Chuang CT(undefined)undefined undefined undefined undefined-undefined

[17]

Clunie J(undefined)undefined undefined undefined undefined-undefined

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