NORMAL THEOREM OF ALGEBROIDAL FUNCTIONS

By applying the main theorems on covering surface, a new normal criterion of algebroidal function was obtained. Let $F$ be a family of $k$-valued algebroidal functions in a domain $D$ of sphere $V,$ and the branch points of $F$ be isolated. If for all $p\in D,$ there is a neighborhood $U(p)$ such that for every $f_{t}\in F,$ there exist three different complex values $a_{t1},a_{t2},a_{t3}$ satisfying $\sum\limits_{i=1}^{3}\overline{n}(U(p),a_{ti},f_{t})\leq 1,$ then $F$ is normal in $D.$