The log-concavity of the q-derangement numbers of type B

The log-concavity of the q-derangement numbers of type B AbstractRecently, 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 forDnB(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 B DnB(q)$\begin{array}{}\displaystyle D^B_n(q)\end{array}$ are also log-concave. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

The log-concavity of the q-derangement numbers of type B

, Volume 16 (1): 6 – Feb 23, 2018
6 pages

/lp/degruyter/the-log-concavity-of-the-q-derangement-numbers-of-type-b-sihldO0Xc6
Publisher
De Gruyter Open
ISSN
2391-5455
eISSN
2391-5455
D.O.I.
10.1515/math-2018-0009
Publisher site
See Article on Publisher Site

Abstract

AbstractRecently, 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 forDnB(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 B DnB(q)$\begin{array}{}\displaystyle D^B_n(q)\end{array}$ are also log-concave.

Journal

Open Mathematicsde Gruyter

Published: Feb 23, 2018

DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month Explore the DeepDyve Library Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve Freelancer DeepDyve Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations