On extreme zeros of classical orthogonal polynomials
Classical Analysis and ODEs
2016-09-07 v1
Abstract
Let and be the least and the largest zeros of the Laguerre or Jacobi polynomial of degree We shall establish sharp inequalities of the form which are uniform in all the parameters involved. Together with inequalities in the opposite direction, recently obtained by the author, this locates the extreme zeros of classical orthogonal polynomials with the relative precision, roughly speaking,
Cite
@article{arxiv.math/0306286,
title = {On extreme zeros of classical orthogonal polynomials},
author = {Ilia Krasikov},
journal= {arXiv preprint arXiv:math/0306286},
year = {2016}
}