Article
| Title: | Some results on derangement polynomials (English) |
| Author: | Hassani, Mehdi |
| Author: | Moshtagh, Hossein |
| Author: | Ghorbani, Mohammad |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 63 |
| Issue: | 3 |
| Year: | 2022 |
| Pages: | 307-313 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study moments of the difference $D_n(x)-x^n n! {\rm e}^{-1/x}$ concerning derangement polynomials $D_n(x)$. For the first moment, we obtain an explicit formula in terms of the exponential integral function and we show that it is always negative for $x>0$. For the higher moments, we obtain a multiple integral representation of the order of the moment under computation. (English) |
| Keyword: | derangement |
| Keyword: | permutation |
| Keyword: | integration |
| MSC: | 05A05 |
| MSC: | 05A16 |
| MSC: | 26A06 |
| idZBL: | Zbl 07655802 |
| idMR: | MR4542791 |
| DOI: | 10.14712/1213-7243.2022.025 |
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| Date available: | 2023-02-01T12:04:38Z |
| Last updated: | 2023-04-20 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151478 |
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