author = {Diego Dominici},
title = {{Comparative asymptotics for discrete semiclassical orthogonal polynomials}},
language = {english},
abstract = {We study the ratio $frac{P_{n}left( x;zright) }{phi_{n}left( xright) }$ asymptotically as $nrightarrowinfty,$ where the polynomials $P_{n}left( x;zright) $ are orthogonal with respect to a discrete linear functional and $phi_{n}left( xright) $ denote the falling factorial polynomials. We give recurrences that allow the computation of high order asymptotic expansions of $P_{n}left( x;zright) $ and give examples for most discrete semiclassical polynomials of class $sleq2.$ We show several plots illustrating the accuracy of our results.},
number = {22-11},
year = {2022},
month = {August},
keywords = {Orthogonal polynomials, asymptotic analysis },
length = {53},
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)}