涉及分担集合的亚纯函数正规定则研究
Research on Normality Rules for Meromorphic Functions Involving Sharing Sets
DOI: 10.12677/pm.2025.158225, PDF,    国家自然科学基金支持
作者: 陈志豪, 杨锦华*:新疆师范大学数学科学学院,新疆 乌鲁木齐
关键词: 亚纯函数正规性分担集合Meromorphic Function Normality Sharing Set
摘要: 本文主要讨论了一类涉及分担集合的亚纯函数正规定则,通过利用Pang-Zalcman引理构造辅助函数,结合正规族理论与Nevanlinna理论,利用经典引理,在前人研究的基础上,得到了一类新的正规定则。
Abstract: This paper discusses the normality rules for a class of meromorphic functions involving sharing sets. By constructing auxiliary functions using the Pang-Zalcman lemma, combining normal family theory with Nevanlinna theory, and applying classical lemmas, we obtain a new class of normality rules based on previous research.
文章引用:陈志豪, 杨锦华. 涉及分担集合的亚纯函数正规定则研究[J]. 理论数学, 2025, 15(8): 104-110. https://doi.org/10.12677/pm.2025.158225

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