The Ratio Monotonicity of the $q$-Derangement Numbers
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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.
16 pages. log-concavity possibly except for one term is added as a corollary
16 pages. log-concavity possibly except for one term is added as a corollary