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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.19447 |
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| _version_ | 1866913248532496384 |
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| author | Lu, Yungang |
| author_facet | Lu, Yungang |
| contents | Motivated by the study of certain combinatorial properties of $(q,2)$-Fock space, we compute explicitly a sequence driven by the Catalan's convolution and parameterized by $1+q$. As an application of this explicit form, we calculate the number of pair partitions involved in the determination of the vacuum--moments of the field operator defined on the $(q,2)$-Fock space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted Catalan convolution and $(q,2)$-Fock space Lu, Yungang Combinatorics Motivated by the study of certain combinatorial properties of $(q,2)$-Fock space, we compute explicitly a sequence driven by the Catalan's convolution and parameterized by $1+q$. As an application of this explicit form, we calculate the number of pair partitions involved in the determination of the vacuum--moments of the field operator defined on the $(q,2)$-Fock space. |
| title | Weighted Catalan convolution and $(q,2)$-Fock space |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2402.19447 |