Mathematical Analysis and Applications

In this paper, monic polynomials orthogonal with deformation of the Freud-type weight function are considered. These fullfill linear differential equation some polynomial coefficients in their holonomic form. The aim work is explore certain characterizing properties perturbed Freud type such as nonlinear recursion relations, finite moments, differential-recurrence and relations satisfied by recurrence well corresponding semiclassical polynomials. We note that obtained fulfilled considered used to study an electrostatic interpretation for distribution zeros based on original ideas Stieltjes.