On zeros of polynomials and allied functions satisfying second order differential equations
arXiv:math/0211190
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.
12 pages
Cited by in corpus (5)
- New bounds on the Hermite polynomials
- On Asymptotics of Polynomial Eigenfunctions for Exactly-Solvable Differential Operators
- On approximation of ultraspherical polynomials in the oscillatory region
- Turan inequalities and zeros of orthogonal polynomials
- On extreme zeros of classical orthogonal polynomials