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摘要: 给出了一个一般性的正规定则,改进了顾永兴[1]和朱经浩[2]的结果. 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的零点重级≥m+3并且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.Abstract: In this paper a general normal criterion is obtained, which improves the results given by Gu YX[1] and Zhu JH[2]. Let F be a family of meromorphic functions on domain D, all of whose zeros are of multiplicity at least m+3. Let h≠0, a0, a1, …, am-1 be holomorphic functions on D. If for any f∈F, 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, then F is normal on D.
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