The Ratio Monotonicity of the q-Derangement Numbers

2007/08/20 by William Y. C. Chen, Chen, William Y. C., Ernest X. W. Xia +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.0708.2572

Abstract

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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• The ratio monotonicity of Eulerian-type polynomials

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