Symmetrized Chebyshev Polynomials
经典分析与常微分方程
2007-05-23 v1 概率论
摘要
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. We further show that a Central Limit Theorem holds for our polynomials.
引用
@article{arxiv.math/0301241,
title = {Symmetrized Chebyshev Polynomials},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:math/0301241},
year = {2007}
}
备注
Enhancement of math.CA/0301210