  Recently the authors presented a matrix representation approach to real
Appell polynomials essentially determined by a nilpotent matrix with natural
number entries. It allows to consider a set of real Appell polynomials as
solution of a suitable first order initial value problem. The paper aims to
confirm that the unifying character of this approach can also be applied to the
construction of homogeneous Appell polynomials that are solutions of a
generalized Cauchy-Riemann system in Euclidean spaces of arbitrary dimension.
The result contributes to the development of techniques for polynomial
approximation and interpolation in non-commutative Hypercomplex Function
Theories with Clifford algebras.
