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.
Symmetrized Chebyshev Polynomials
A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
Hypergeometric differential equation and new identities for the coefficients of Norlund and Buehring
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