Normal Ordering and Bessel Numbers with Integral Operators
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910012604940288 |
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| author | Benmoussa, Abdelhay |
| author_facet | Benmoussa, Abdelhay |
| contents | We derive a normal ordering formula for the operator \((xI)^n\), where \(I\) denotes the Volterra operator. The resulting coefficients are shown to coincide with the Bessel numbers. We also present two applications, along with a generalization of the main result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09817 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal Ordering and Bessel Numbers with Integral Operators Benmoussa, Abdelhay Combinatorics 11B83, 11C08, 26A36 We derive a normal ordering formula for the operator \((xI)^n\), where \(I\) denotes the Volterra operator. The resulting coefficients are shown to coincide with the Bessel numbers. We also present two applications, along with a generalization of the main result. |
| title | Normal Ordering and Bessel Numbers with Integral Operators |
| topic | Combinatorics 11B83, 11C08, 26A36 |
| url | https://arxiv.org/abs/2511.09817 |