Zero Meromorphic Function Full Circle And The Singular Direction

In this paper, Through complicated calculation,it can be easily proved that there exist fulling-up discs and Borel direction on the meromorphic functions of zero order which satisfy the contionBy using it,in this paper,we have also discussed and proved the existence of Borel direction on the small functions of meromorphic functions which satisfy the above contion .1 define the convergence type of k-order and the divergence type of k-order.we have discussed and proved the existence of VB direction and BR direction on the small functions of meromorphic functions which satisfy the above contion .so that in another way ,not considering the fulling-up disc ,we have proved the existence of Borel direction on the meromorphic functions of zero order again.