On generalized hypercomplex laguerre-type exponentials and applications

In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbolic functions. 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.