On certain properties of perturbed Freud-type weight: a revisit
Abstract
In this paper, monic polynomials orthogonal with deformation of the Freud-type weight function are considered. These polynomials fullfill linear differential equation with some polynomial coefficients in their holonomic form. The aim of this work is explore certain characterizing properties of perturbed Freud type polynomials such as nonlinear recursion relations, finite moments, differential-recurrence and differential relations satisfied by the recurrence coefficients as well as the corresponding semiclassical orthogonal polynomials. We note that the obtained differential equation fulfilled by the considered semiclassical polynomials are used to study an electrostatic interpretation for the distribution of zeros based on the original ideas of Stieltjes.
Keywords
Cite
@article{arxiv.2205.04895,
title = {On certain properties of perturbed Freud-type weight: a revisit},
author = {Abey S. Kelil and Appanah R. Appadu and Sama Arjika},
journal= {arXiv preprint arXiv:2205.04895},
year = {2022}
}
Comments
17 pages