Author:
Boros George,Moll Victor H.
Abstract
We show that if $P(x)$ is a polynomial with nondecreasing, nonnegative coefficients, then the coefficient sequence of $P(x+1)$ is unimodal. Applications are given.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
12 articles.
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1. The Greatest Lower Bound of a Boros–Moll Sequence;Mathematical Notes;2022-02
2. A Hypergeometric Inequality;Annals of Combinatorics;2015-12-17
3. Log-concavity and unimodality of compound polynomials;Discrete Mathematics;2013-11
4. 2-Log-Concavity of the Boros–Moll Polynomials;Proceedings of the Edinburgh Mathematical Society;2013-08-21
5. Proof of Moll’s minimum conjecture;European Journal of Combinatorics;2013-05