Lattice Paths and Positive Trigonometric Sums
نویسنده
چکیده
A trigonometric polynomial generalization to the positivity of an alternating sum of binomial coeecients is given. The proof uses lattice paths, and identiies the trigonometric sum as a polynomial with positive integer coeecients. Some special cases of the q-analog conjectured by Bressoud are established, and new conjectures are given.
منابع مشابه
Pairs of lattice paths and positive trigonometric sums
Ismail et al. (Constr. Approx. 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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