一个涉及分担集合的亚纯函数正规定则
A Normality Criterion of Meromorphic Functions Concerning Shared Set

作者: 厉珍珠 * , 雷春林 :华南农业大学应用数学研究所,广东 广州;

关键词: 正规族亚纯函数ZALCMAN引理分担集Normal Families Meromorphic Functions Zalcman Lemma Shared Set

摘要:
是区域D内的一族亚纯函数, a, b,c 是三个有穷复数并且 , k是正整数。令 。若对于任意的 满足:1) f-c的零点重级均 ;2) ,其中Dk(f)为f的线性微分多项式,则 在D内正规。

Abstract: Let be a family of meromorphic functions in a domain D, let a, b, c be finite complex numbers, and . Let k be a positive integer and . If, for each , the zeros of f-c are of multiplicity , and whenever , then is normal in D.

文章引用: 厉珍珠 , 雷春林 (2017) 一个涉及分担集合的亚纯函数正规定则。 理论数学, 7, 417-421. doi: 10.12677/PM.2017.76054

参考文献

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