author = {Diego Dominici and Juan José Moreno Balcázar},
title = {{Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials}},
language = {english},
abstract = {In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator $Delta$. Concretely, we treat the generalized Charlier weights in the framework of $Delta$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.},
number = {22-16},
year = {2022},
month = {November},
keywords = {Sobolev orthogonal polynomials, asymptotic analysis, discrete semiclassical orthogonal polynomials},
length = {18},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}