Proof of a conjecture on unimodality

Citations of this article
Mendeley users who have this article in their library.


Let P(x) be a polynomial of degree m, with nonnegative and nondecreasing coefficients. We settle the conjecture that for any positive real number d, the coefficients of P(x+d) form a unimodal sequence, of which the special case d being a positive integer has already been asserted in a previous work. Further, we explore the location of modes of P(x+d) and present some sufficient conditions on m and d for which P(x+d) has the unique mode ⌈m-d/d+1⌉. © 2004 Elsevier Ltd. All rights reserved.

Author supplied keywords




Wang, Y., & Yeh, Y. N. (2005). Proof of a conjecture on unimodality. European Journal of Combinatorics, 26(5), 617–627.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free