Several Kinds Of Functions' Equivalent Description In Complex Clifford Analysis

In the first part of this paper,resorting to the idea of quasi-permutation which created by Sha Hang , we give the equivalent conditions of complex monogenic and complex hypermonogenic functions,define the complex hyperharmonic function and discuss its equivalent conditions in Clifford analysis.Then,in the second part , we discuss several properties of hypermonogenic functions in complex Clifford analysis.