  Tnis paper deals with some special integral transforms in the setting of
quaternionic valued slice polyanalytic functions. In particular, using the
polyanalytic Fueter mappings it is possible to construct a new family of
polynomials which are called the generalized Appell polynomials. Furthermore,
the range of the polyanalytic Fueter mappings on two different polyanalytic
Fock spaces is characterized. Finally, we study the polyanalytic
Fueter-Bargmann transforms.
