  In this paper, we show that a Clifford algebra valued function is slice if
and only if it is in the kernel of Dunkl-spherical Dirac operator and a slice
function $f$ is slice regular if and only if it is in the kernel of the
Dunkl-Cauchy-Riemann operator of a certain parameter. Based on this observation
and the inverse Dunkl intertwining operator, we present a new approach to
construct a family of classical monogenic functions from a given holomorphic
function.
