2003/01/20 by Igor Rivin, Rivin, Igor
Mathematics · #41A63 #42C05 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #math.CA #math.CO #msc:41A63 #msc:42C05
paper · pdf · doi:10.48550/arxiv.math/0301210
arxiv created 2003/01/20 · openalex publication_date 2003/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.