Perturbations of Laguerre–Hahn linear functionals

In this paper we shall make some perturbations in a Laguerre–Hahn linear functional, such as the addition of a Dirac Delta or the left multiplication by a polynomial. We shall study that these transformations carried out on Laguerre–Hahn linear functionals originate new Laguerre–Hahn linear functionals. We shall also analyze the class of the resulting functional.