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A step 2 branching decomposition of spaces of homogeneous Hermitian monogenicpolynomials in C^n is established with explicit embedding factors in terms ofthe generalized Jacobi polynomials, which allows for an inductive constructionof an orthogonal basis for those spaces. The embedding factors and theorthogonal bases are fully worked out in the complex dimension 2 case, withspecial interest for the Appell property.

Embedding Factors for Branching in Hermitian Clifford Analysis