New bounds on the Hermite polynomials
Classical Analysis and ODEs
2007-05-23 v1
Authors:
Ilia Krasikov
Abstract
We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value of ∣Hk(x)∣e−x2/2, on the real axis, where Hk are the Hermite polynomials.
Keywords
Cite
@article{arxiv.math/0401310,
title = {New bounds on the Hermite polynomials},
author = {Ilia Krasikov},
journal= {arXiv preprint arXiv:math/0401310},
year = {2007}
}
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