Tur\'an Inequalities for Three Term Recurrences with Monotonic Coefficients
Classical Analysis and ODEs
2011-01-18 v1
Abstract
We establish some new Tur\'an's type inequalities for orthogonal polynomials defined by a three-term recurrence with monotonic coefficients. As a corollary we deduce asymptotic bounds on the extreme zeros of orthogonal polynomials with polynomially growing coefficients of the three-term recurrence.
Keywords
Cite
@article{arxiv.1101.3204,
title = {Tur\'an Inequalities for Three Term Recurrences with Monotonic Coefficients},
author = {Ilia Krasikov},
journal= {arXiv preprint arXiv:1101.3204},
year = {2011}
}