Hypercomplex function theory generalizes the theory of holomorphic
functions of one complex variable by using Clifford Algebras and
provides the fundamentals of Clifford Analysis as a refinement of
Harmonic Analysis in higher dimensions. We define the Laguerre
derivative operator in hypercomplex context and by using operational
techniques we construct generalized hypercomplex monogenic Laguerre
polynomials. Moreover, Laguerre-type exponentials of order m are
defined.Financial support from "Center for research and development in Mathematics and Applications'' of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT) is gratefully acknowledged
