Some identities involving derangement polynomials and r-Bell polynomials
In this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its generalizations due to Du and Fonseca. The identities of...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024102?viewType=HTML |
| _version_ | 1797354559666913280 |
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| author | Aimin Xu |
| author_facet | Aimin Xu |
| author_sort | Aimin Xu |
| collection | DOAJ |
| description | In this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its generalizations due to Du and Fonseca. The identities of the second kind extended some of the results on derangement polynomials and Bell polynomials due to Kim et al. |
| first_indexed | 2024-03-08T13:52:10Z |
| format | Article |
| id | doaj.art-5b02ca0dcb11477b8c422a26d486b2ea |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T13:52:10Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5b02ca0dcb11477b8c422a26d486b2ea2024-01-16T01:18:40ZengAIMS PressAIMS Mathematics2473-69882024-01-01912051206210.3934/math.2024102Some identities involving derangement polynomials and r-Bell polynomialsAimin Xu 0Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, ChinaIn this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its generalizations due to Du and Fonseca. The identities of the second kind extended some of the results on derangement polynomials and Bell polynomials due to Kim et al. https://www.aimspress.com/article/doi/10.3934/math.2024102?viewType=HTMLderangement polynomials$ r $-bell polynomialsstirling numbersidentities |
| spellingShingle | Aimin Xu Some identities involving derangement polynomials and r-Bell polynomials AIMS Mathematics derangement polynomials $ r $-bell polynomials stirling numbers identities |
| title | Some identities involving derangement polynomials and r-Bell polynomials |
| title_full | Some identities involving derangement polynomials and r-Bell polynomials |
| title_fullStr | Some identities involving derangement polynomials and r-Bell polynomials |
| title_full_unstemmed | Some identities involving derangement polynomials and r-Bell polynomials |
| title_short | Some identities involving derangement polynomials and r-Bell polynomials |
| title_sort | some identities involving derangement polynomials and r bell polynomials |
| topic | derangement polynomials $ r $-bell polynomials stirling numbers identities |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024102?viewType=HTML |
| work_keys_str_mv | AT aiminxu someidentitiesinvolvingderangementpolynomialsandrbellpolynomials |