Inspired by the classical Cauchy transform in \(L_{2}(\partial B(R))\) , we first derive the Laurent expansion for Hermitian monogenic functions in Hermitian Clifford analysis, and we obtain direct applications of this expansion. Then we use the Laurent expansion to study the \(L_{2}\) -boundary values of Hermitian monogenic functions, we prove that every \(f \in L_{2}(S^{2m-1};V)\) can be decomposed as a sum of boundary values of functions, which are h-monogenic inside and outside the unit ball respectively.
