An extension of a criterion for unimodality

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Abstract

We prove that if P(x) is a polynomial with nonnegative nondecreasing coefficients and n is a positive integer, then P(x+n) is unimodal. Applications and open problems are presented.

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Alvarez, J., Amadis, M., Boros, G., Karp, D., Moll, V. H., & Rosales, L. (2001). An extension of a criterion for unimodality. Electronic Journal of Combinatorics, 8(1 R), 1–7. https://doi.org/10.37236/1574

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