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Pairs of lattice paths and positive trigonometric sums

arXiv:0903.5179 · doi:10.1007/s00365-009-9067-x

Abstract

Ismail et al. (Constr. Approx. {\bf 15} (1999) 69--81) proved the positivity of some trigonometric polynomials with single binomial coefficients. In this paper, we prove some similar results by replacing the binomial coefficients with products of two binomial coefficients.

9 pages, final version