关于微分多项式的正规定则
A Normal Criterion Concerning the Differential Polynomials
DOI: 10.12677/PM.2021.115099, PDF,    国家自然科学基金支持
作者: 阿尔孜古丽·依马木买买提, 杨 祺*:新疆师范大学数学科学学院,新疆 乌鲁木齐
关键词: 亚纯函数正规定则微分多项式Meromorphic Function Normal Criterion Differential Polynomial
摘要: 本文研究了一类微分多项式的亚纯函数的正规定则。我们改进和推广了前人的结论,利用P-Z引理,采用反证法,得到一个新的正规定则。
Abstract: In this paper, we discuss the normal criterion of meromorphic functions concerning differential polynomials. We have improved and extended the previous conclusions, by using P-Z lemma and the method of proof by contradiction, we obtain a new normal criterion.
文章引用:阿尔孜古丽·依马木买买提, 杨祺. 关于微分多项式的正规定则[J]. 理论数学, 2021, 11(5): 865-872. https://doi.org/10.12677/PM.2021.115099

参考文献

[1] Xu, Y. (2016) Normal Families and Fixed-Points of Meromorphic Functions. Monatshefte für Mathematik, 179, 471-485. [Google Scholar] [CrossRef
[2] Zhang, G.M. (2009) Normal Families and Omitted Functions II. Bulletin of the London Mathematical Society, 41, 63-71. [Google Scholar] [CrossRef
[3] Xu, Y. (2004) Normality and Exceptional Functions of Derivatives. Journal of the Australian Mathematical Society, 76, 403-414. [Google Scholar] [CrossRef
[4] Xu, Y. and Fang, M.L. (2003) On Normal Families of Meromorphic Functions. Journal of the Australian Mathematical Society, 74, 155-164. [Google Scholar] [CrossRef