Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl(2; C ) on Clifford algebra of even dimension.
In this paper, the so-called Riemann-Hilbert compound boundary value problems for hyperanalytic functions are considered, include the compound value problems for simply connected regions and open arcs, we get these solutions.