The limiting distribution of the q-derangement numbers

William Y.C. Chen; David G.L. Wang

doi:10.1016/j.ejc.2010.05.009

The limiting distribution of the q-derangement numbers

William Y.C. Chen^*
, David G.L. Wang

^*此作品的通讯作者

Nankai University

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

We prove the normality of the limiting distribution of the coefficients of the q-derangement numbers of type B based on the formula of Foata and Han that contains a parameter z. Setting the parameter z to zero, we are led to the case of ordinary q-derangement numbers. For z=1, we obtain the normality of the limiting distribution of the coefficients of the usual q-derangement numbers of type B.

源语言	英语
页（从-至）	2006-2013
页数	8
期刊	European Journal of Combinatorics
卷	31
期	8
DOI	https://doi.org/10.1016/j.ejc.2010.05.009
出版状态	已出版 - 12月 2010
已对外发布	是

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AB - We prove the normality of the limiting distribution of the coefficients of the q-derangement numbers of type B based on the formula of Foata and Han that contains a parameter z. Setting the parameter z to zero, we are led to the case of ordinary q-derangement numbers. For z=1, we obtain the normality of the limiting distribution of the coefficients of the usual q-derangement numbers of type B.

UR - https://www.scopus.com/pages/publications/77956187683

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DO - 10.1016/j.ejc.2010.05.009

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

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The limiting distribution of the q-derangement numbers

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