NORMALITY OF A FAMILY OF HOLOMORPHIC CURVESTHAT PARTIALLY SHARE WANDERING HYPERPLANESWITH THEIR DERIVATIVES

In this paper, we prove that a family of holomorphic curves in P pCq that partially share moving as well as wandering hyperplanes with their derivatives is normal.By associating a moving hyperplane in P 1 pCq to any holomorphic function, we also obtain a normality criterion for a family of meromorphic functions that partially share wandering holomorphic functions with their derivatives.Further, we devise a tractable representation of complex-valued holomorphic functions on a domain as functions from to P 2 pCq to obtain a normality criterion that leads to a counterexample to the converse of Bloch's principle.