涉及高阶导数的亚纯函数正规定则
Normal Rules for Meromorphic Functions Involving Higher-Order Derivatives
DOI: 10.12677/PM.2022.1212233, PDF,    国家自然科学基金支持
作者: 冉 娜, 杨 祺*：新疆师范大学数学科学学院，新疆 乌鲁木齐
关键词: 正规族；亚纯函数；分担值；Normal Family； Meromorphic Functions； Shared Values
摘要: 本文讨论了关于分担值的亚纯函数正规族，在Zalcman-pang引理的基础上，利用分担值的方法，并结合前人的研究，关于和这两种形式IM分担b的正规定则，其中a，b为非零复数，本文将其推广到有关函数f的非零复数bf,cf，得到了两个新的正规定则。
Abstract: This paper discusses the normal family of meromorphic functions on sharing values, based on the Zalcman-pang lemma, using the method of sharing values, and combined with previous research, the positive rule of IM sharing b in the two forms and , where a and b are non-zero complex numbers, this paper generalizes them to the non-zero complex number bf,cf of the function f, and obtains two new normal rules.
文章引用：冉娜, 杨祺. 涉及高阶导数的亚纯函数正规定则[J]. 理论数学, 2022, 12(12): 2170-2177. https://doi.org/10.12677/PM.2022.1212233

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