Symmetrized Chebyshev Polynomials

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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.
Enhancement of math.CA/0301210

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Classical Analysis and ODEs, Probability, 41A63; 42C05; 05C25; 05C20; 60F05

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http://salesiana.dossiersoluciones.com/handle/123456789/66319

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301241
 http://arxiv.org/abs/math/0301241

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arXiv