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arxiv: 0903.5179 · v3 · pith:GERMDRJ4new · submitted 2009-03-30 · 🧮 math.CO

Pairs of lattice paths and positive trigonometric sums

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keywords binomialcoefficientssometrigonometricapproxconstrismaillattice
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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.

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