  In recent works, arbitrary structural sets in the non-commutative Clifford
analysis context have been used to introduce non-trivial generalizations of
harmonic Clifford algebra valued functions in $\mathbb{R}^m$. Being defined as
the solutions of elliptic (generally non-strongly elliptic) partial
differential equations, $(\varphi,\psi)$-inframonogenic and
$(\varphi,\psi)$-harmonic functions do not share the good structure and
properties of the harmonic ones. The aim of this paper it to show and clarified
the relationship between these classes of functions.
