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涉及微分多项式和多项式的亚纯函数正规族

, PP. 75-79

Keywords: 亚纯函数,正规族,微分多项式,多项式

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Abstract:

k,l∈N,且k≥2,设F为D内亚纯函数族,对∶f∈F,在D内的零点之级≥k+1,极点之级≥2.h(z)为D内的全纯函数,在D内的零点之级≥2,且h(z)0.设a1(z),a2(z),…,ak-1(z)和b1(z),b2(z),…,bl(z)为D内的全纯函数.置H(f)(z)=f(k)(z)+ak-1(z)f(k-1)(z)+…+a1(z)f′(z)+b1(z)f(z)+…+bl(z)fl(z).若对∶f∈F,有H(f)(z)≠h(z)(z∈D)成立,则F在D内正规.

References

[1]  顾永兴.亚纯函数的一个正规定则[J].中国科学(数学专辑),1979(I):267ˉ274.
[2]  Yang L.Normal families and fixˉpoint ofmeromorphic function[J].IndianaUnivMath J,1986,35(1):179ˉ197.
[3]  W angY F,FangM L.Picard values and normal families ofmeromorphic functionwithmultiple zeros[J].ActaMath SinicaN S,1998,14(1):17ˉ26.
[4]  PangX C,YangD G,Zalcman L.Normal families ofmeromorphic functionswhose derivatives omit a function[J].Computational Methods and function Theory,2002,2(1):257ˉ265.
[5]  Huang Xiaoˉjun,Gu Yongˉxing.Normal families ofmeromorphic functionswith multiple zeros and poles[J].JMathematical Analysis and Applications,2004,295(2):611ˉ619.
[6]  Xu Yan.Normal famlies ofmeromorphic functions[J].JMath,2001,21(4):381ˉ386.

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