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
DOI: 10.12677/PM.2017.76054, PDF, HTML, XML, 下载: 1,420  浏览: 3,268  国家自然科学基金支持
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: 设 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. 一个涉及分担集合的亚纯函数正规定则[J]. 理论数学, 2017, 7(6): 417-421. https://doi.org/10.12677/PM.2017.76054

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