Article ID Journal Published Year Pages File Type
4648682 Discrete Mathematics 2011 5 Pages PDF
Abstract

We introduce the notion of ratio monotonicity for polynomials with nonnegative coefficients, and we show that, for n≥6n≥6, the qq-derangement numbers Dn(q)Dn(q) are strictly ratio monotone except for the last term when nn is even. This property implies the spiral property and log-concavity.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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