An Extension of a Criterion for Unimodality

Authors

Jenny Alvarez, University of California - Santa Barbara
Miguel Amadis, Nyack College
George Boros, Xavier University of Louisiana
Dagan Karp, Harvey Mudd CollegeFollow
Victor H. Moll, Tulane University of Louisiana
Leobardo Rosales, University of California - San Diego

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2001

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.

Rights Information

© 2001 Alvarez, Amadis, et al.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Alvarez, Jenny, Miguel Amadis, George Boros, Dagan Karp, Victor H. Moll, Leobardo Rosales. "An extension of a criterion for unimodality." Electronic J. of Combinatorics. 2001. 8#R30.pg:1-5