The Ratio Monotonicity of the $q$-Derangement Numbers

Details The Ratio Monotonicity of the $q$-Derangement Numbers The Ratio Monotonicity of the $q$-Derangement Numbers

2007-08-20

arxiv.org/abs/0708.2572v3

Mathematics

Combinatorics

16 pages. log-concavity possibly except for one term is added as a corollary

Scientific paper

We show that the $q$-derangement numbers satisfy a ratio monotone property,
which is analogous to the log-concavity and is stronger than the spiral
property and the unimodality.

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