%0 Journal Article
%T 涉及分担值的正规定则<br>Some Normal Criteria Concerning Shared Values
%A 刘丹
%A 杨德贵
%A 方明亮
%J 数学年刊（A辑）
%D 2017
%R 10.16205/j.cnki.cama.2017.0023
%X 设 $\mathcal F$是区域 $D$上的一个亚纯函数族, $k\ (\geq 2)$是一个正整数, $b$是一个非零复数, $M$是一个正数. 若对任意给定的 $f \in \mathcal F$, $f$的零点重数至少为$k$, 且$f(z)=0 \Rightarrow |f^{(k)}(z)| \leq M$. 如果对任意给定的函数 $f,g \in \mathcal F$, $L(f)$与 $L(g)$的零点都为重零点, 且$L(f)$与$L(g)$在区域 $D$内分担$b$, 则$\mathcal F$在区域 $D$内正规.<br>Let $\mathcal F$ be a family of meromorphic functions in a domain $D$, $k\ (\geq 2)$ a positive integer, $b$ a nonzero finite complex number, and $M$ a positive number. Suppose that for each $f \in \mathcal F$, all zeros of $f$ have multiplicity at least $k$, and $f(z)=0 \Rightarrow |f^{(k)}(z)| \leq M$. If for each pair $f,g \in \mathcal F$, all zeros of $L(f)$ and $L(g)$ are multiple, and $L(f)$ and $L(g)$ share $b$ in $D$, then $\mathcal F$ is normal in $D$.
%K Meromorphic function
%K Normality
%K Shared value&lt
%K br&gt
%K Meromorphic function
%K Normality
%K Shared value
%U http://www.camath.fudan.edu.cn/camacn/ch/reader/view_abstract.aspx?file_no=38A305&flag=1