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.

Published
2001-09-19
Article Number
R30