On $T$ direction of algebra function

Source abstract

In this paper, by using the sphere characteristic function $T(r,w)$, we define and establish the existence of a new singular direction for the algebroidal function $w$, namely a $T$ direction, for which the characteristic function $T(r,w)$ is used as a comparison function. This extended the previous result due to Guo, Zheng and Ng in [Bull. Austral. Math. Soc. 69(2004), 277-287].