涉及f'k-ak(z)fk2≠b(z)的正规性探讨
Discussion of Normality Involving f'k-ak(z)fk2≠b(z)
DOI: 10.12677/PM.2023.136189, PDF, HTML,   
作者: 鲁凤年*, 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；正规定则；例外函数；Meromorphic Function； Normal Criterion； Omitted Function
摘要: 本文对涉及例外函数的正规定则进行了讨论，利用P -Z 引理和构造函数的方法，针对满足条件f'k-ak(z)fk2≠b(z)的一类亚纯函数族的正规性展开研究，我们得到a(z)(≢0),b(z) 为区域D内的两个全纯函数。当a(z)=0 时，f(z)≠∞且k≥4时,则F在D内正规。
Abstract: In this paper, the normal rules involving omitted functions are discussed, and the method of P 􀀀 Z lemma and constructor is used to study the normality of a class of meromorphic function family satisfying the condition (f(z)')k-ak(z)fk2≠b(z). We get thata(z)(≢0),b(z) are two holomorphic functios on D, and whenever a(z)=0, f(z)≠∞ andk≥4, the family of functions is normal.
文章引用：鲁凤年, 杨锦华. 涉及f'k-ak(z)fk2≠b(z)的正规性探讨[J]. 理论数学, 2023, 13(6): 1859-1866. https://doi.org/10.12677/PM.2023.136189

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