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arXiv:math/0301241 [math.CA]AbstractReferencesReviewsResources

Symmetrized Chebyshev Polynomials

Igor Rivin

Published 2003-01-21Version 1

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.

Comments: Enhancement of math.CA/0301210
Categories: math.CA, math.PR
Subjects: 41A63, 42C05, 05C25, 05C20, 60F05
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