On zeros of polynomials and allied functions satisfying second order differential equations
Classical Analysis and ODEs
2016-09-07 v1 Mathematical Physics
math.MP
Abstract
We shall give bounds on the spacing of zeros of certain functions belonging to the Laguerre-Polya class and satisfying a second order differential equation. As a corollary we establish new sharp inequalities on the extreme zeros of the Hermite, Laguerre and Jacobi polinomials, which are uniform in all the parameters.
Keywords
Cite
@article{arxiv.math/0211190,
title = {On zeros of polynomials and allied functions satisfying second order differential equations},
author = {Ilia Krasikov},
journal= {arXiv preprint arXiv:math/0211190},
year = {2016}
}
Comments
12 pages