The Borel points of algebroidal function and its coefficient functions

The relationship between the Borel point of algebroid functions and that of its coefficient functions is studied in this paper. Some results on the algebroid function defined in the unit disc are established. As an application, $e^{it}$ is a Borel point of entire algebroid function $W (z)$ of order $p (1)$ if and only if $e^{it}$ is a Borel point of coefficient function $A_j (z)$ of order $p$ for some positive integer $j\in\{0,1,2,..., k-1\}$ is proved.