一类涉及分担值的亚纯函数正规族

Normal Families of Meromorphic Functions Sharing Values

本文研究涉及分担值的亚纯函数族正规性准则。给出了一类涉及亚纯函数及其一阶导数分担值的正规族定则,其中的分担值依赖于函数族中的函数。本文的结论推广了已有的一个亚纯函数族关于固定分担值的正规定则。进一步地,我们研究了其它类似的亚纯函数族正规定则。

In this paper, we discuss the normality of families of meromorphic functions concerning shared values. A normal criterion for families of meromorphic functions which share values with their first derivative is given, where the shared values can be flexible with the related functions. This result generalizes a former normal criterion in which the shared values are fixed. Moreover, we study some other similar results.