Spivey-type recurrence relation for fully degenerate Bell polynomials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914026163798016 |
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| author | Kim, Taekyun Kim, Dae San |
| author_facet | Kim, Taekyun Kim, Dae San |
| contents | Spivey's combinatorial method revealed an important identity for Bell numbers, involving Stirling numbers of the second kind. This paper extends his work by deriving Spivey-type recurrence relations for fully degenerate Bell polynomials and degenerate Fubini polynomials. Our derivation uses degenerate Stirling numbers of the second kind and two-variable degenerate Fubini polynomials of order a. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spivey-type recurrence relation for fully degenerate Bell polynomials Kim, Taekyun Kim, Dae San Number Theory 11B73, 11B83 Spivey's combinatorial method revealed an important identity for Bell numbers, involving Stirling numbers of the second kind. This paper extends his work by deriving Spivey-type recurrence relations for fully degenerate Bell polynomials and degenerate Fubini polynomials. Our derivation uses degenerate Stirling numbers of the second kind and two-variable degenerate Fubini polynomials of order a. |
| title | Spivey-type recurrence relation for fully degenerate Bell polynomials |
| topic | Number Theory 11B73, 11B83 |
| url | https://arxiv.org/abs/2509.05761 |