涉及微分多项式的亚纯函数正规族
A Normal Family of Meromorphic Functions Concerning Differential Polynomial
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摘要: 给出了一个一般性的正规定则.设F为区域D上的一个亚纯函数族,h(≠)0,a0,a1,…,am-1为区域D上的全纯函数.如果对于任意的f∈F,f的极点重数≥2,f的零点重数≥m+2,且L(f)(z)=f(m)(z)+am-1(z)f(m-1)(z)+…+a1(z)f'(z)+a0(z)f(z)≠h(z) z∈D则F在区域D上正规.
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关键词:
- 正规族、亚纯函数、全纯函数、微分多项式
Abstract: In this paper one general normal criterion is obtained. Let F be a family of meromorphic functions on do main D, all of whose poles are multiple, and all of whose zeros are of multiplicity at least m+2. Let h(≠)0, a0 ,a1 ,then F is normal on D.-
Key words:
- normal family .
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