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Recently the authors presented a matrix representation approach to realAppell polynomials essentially determined by a nilpotent matrix with naturalnumber entries. It allows to consider a set of real Appell polynomials assolution of a suitable first order initial value problem. The paper aims toconfirm that the unifying character of this approach can also be applied to theconstruction of homogeneous Appell polynomials that are solutions of ageneralized Cauchy-Riemann system in Euclidean spaces of arbitrary dimension.The result contributes to the development of techniques for polynomialapproximation and interpolation in non-commutative Hypercomplex FunctionTheories with Clifford algebras.

Matrix approach to hypercomplex Appell polynomials