An inequality on Chebyshev polynomials

Details An inequality on Chebyshev polynomials An inequality on Chebyshev polynomials

2003-01-20

arxiv.org/abs/math/0301210v1

Mathematics

Classical Analysis and ODEs

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.

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