The log-concavity of the q-derangement numbers of type B
Recently, Chen and Xia proved that for n ≥ 6, the q-derangement numbers Dn(q) are log-concave except for the last term when n is even. In this paper, employing a recurrence relation for DnB(q) $\begin{array}{} \displaystyle D^B_n(q) \end{array}$ discovered by Chow, we show that for n ≥ 4, the q-de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-02-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2018-0009 |
| Summary: | Recently, Chen and Xia proved that for n ≥ 6, the q-derangement numbers Dn(q) are log-concave except for the last term when n is even. In this paper, employing a recurrence relation for
DnB(q) $\begin{array}{}
\displaystyle
D^B_n(q)
\end{array}$
discovered by Chow, we show that for n ≥ 4, the q-derangement numbers of type BDnB(q) $\begin{array}{}
\displaystyle
D^B_n(q)
\end{array}$
are also log-concave. |
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| ISSN: | 2391-5455 |