Convolution Identities of Stirling Numbers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916206748893184 |
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| author | Li, Nadia Na Chu, Wenchang |
| author_facet | Li, Nadia Na Chu, Wenchang |
| contents | By means of the generating function method, a linear recurrence relation is explicitly resolved. The solution is expressed in terms of the Stirling numbers of both the first and the second kind. Two remarkable pairs of combinatorial identities are established as applications, that contain some well-known convolution formulae on Stirling numbers as special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convolution Identities of Stirling Numbers Li, Nadia Na Chu, Wenchang Combinatorics 05A10, 11B65 By means of the generating function method, a linear recurrence relation is explicitly resolved. The solution is expressed in terms of the Stirling numbers of both the first and the second kind. Two remarkable pairs of combinatorial identities are established as applications, that contain some well-known convolution formulae on Stirling numbers as special cases. |
| title | Convolution Identities of Stirling Numbers |
| topic | Combinatorics 05A10, 11B65 |
| url | https://arxiv.org/abs/2404.09891 |