A recovery of two determinantal representations for derangement numbers

A recovery of two determinantal representations for derangement numbers

In the paper, the authors recover, correct, and extend two representations for derangement numbers in terms of a tridiagonal determinant.

Bibliographic Details
Main Authors: Feng Qi, Jing-Lin Wang, Bai-Ni Guo
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
derangement number
determinantal representation
tridiagonal determinant
generating function
Online Access:http://dx.doi.org/10.1080/23311835.2016.1232878
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spelling doaj-b99e0eb9cdf14ab08ea87ba138cd19382020-11-25T01:11:58ZengTaylor & Francis GroupCogent Mathematics2331-18352016-12-013110.1080/23311835.2016.12328781232878A recovery of two determinantal representations for derangement numbersFeng Qi0Jing-Lin Wang1Bai-Ni Guo2Henan Polytechnic UniversityCollege of Science, Tianjin Polytechnic UniversityHenan Polytechnic UniversityIn the paper, the authors recover, correct, and extend two representations for derangement numbers in terms of a tridiagonal determinant.http://dx.doi.org/10.1080/23311835.2016.1232878derangement numberdeterminantal representationtridiagonal determinantgenerating function
collection DOAJ
language English
format Article
sources DOAJ
author Feng Qi
Jing-Lin Wang
Bai-Ni Guo
spellingShingle Feng Qi
Jing-Lin Wang
Bai-Ni Guo
A recovery of two determinantal representations for derangement numbers
Cogent Mathematics
derangement number
determinantal representation
tridiagonal determinant
generating function
author_facet Feng Qi
Jing-Lin Wang
Bai-Ni Guo
author_sort Feng Qi
title A recovery of two determinantal representations for derangement numbers
title_short A recovery of two determinantal representations for derangement numbers
title_full A recovery of two determinantal representations for derangement numbers
title_fullStr A recovery of two determinantal representations for derangement numbers
title_full_unstemmed A recovery of two determinantal representations for derangement numbers
title_sort recovery of two determinantal representations for derangement numbers
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2016-12-01
description In the paper, the authors recover, correct, and extend two representations for derangement numbers in terms of a tridiagonal determinant.
topic derangement number
determinantal representation
tridiagonal determinant
generating function
url http://dx.doi.org/10.1080/23311835.2016.1232878
work_keys_str_mv AT fengqi arecoveryoftwodeterminantalrepresentationsforderangementnumbers
AT jinglinwang arecoveryoftwodeterminantalrepresentationsforderangementnumbers
AT bainiguo arecoveryoftwodeterminantalrepresentationsforderangementnumbers
AT fengqi recoveryoftwodeterminantalrepresentationsforderangementnumbers
AT jinglinwang recoveryoftwodeterminantalrepresentationsforderangementnumbers
AT bainiguo recoveryoftwodeterminantalrepresentationsforderangementnumbers
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