Symmetrized Chebyshev Polynomials

Details Symmetrized Chebyshev Polynomials Symmetrized Chebyshev Polynomials

2003-01-21

arxiv.org/abs/math/0301241v1

Mathematics

Classical Analysis and ODEs

Enhancement of math.CA/0301210

Scientific paper

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.

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