An Extension of a Criterion for Unimodality

Jenny Alvarez, Miguel Amadis, George Boros, Dagan Karp, Victor H. Moll, Leobardo Rosales

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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