涉及导函数与分担函数的全纯函数正规定则  

Normal criteria of holomorphic functions involving derivative functions and sharing functions

作　　者：许会会 叶亚盛[1] Xu Huihui;Ye Yasheng(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《纯粹数学与应用数学》2022年第1期133-142,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11371139).

摘　　要：针对一类零点个数为有限的全纯函数族,在函数与其导函数分担一个极点均为重级的亚纯函数的条件下,利用Nevanlinna理论及其方法改进了已有文献在分担值条件下得到的一个定理.In this paper, a class of holomorphic functions with finite number of zeros is studied,undering the condition that functions and their derivatives share a meromorphic function with multiple poles. A theorem obtained under the condition of sharing values is improved by using Nevanlinna theory and its method.

关 键 词：全纯函数 亚纯函数 正规族 重级零点 

分 类 号：O174.52[理学—数学]