Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917945525927936 |
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| author | Kim, Taekyun Kim, Dae San |
| author_facet | Kim, Taekyun Kim, Dae San |
| contents | Spivey found a recurrence relation for the Bell numbers by using combinatorial method. The aim of this paper is to derive Spivey's type recurrence relations for the degenerate Bell polynomials and the degenerate Dowling polynomials by using the boson annihilation and creation operators satisfying the commutation relation aa+-a+a=1.
In addition, we derive a Spivey's type recurrence relation for the r-Dowling polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators Kim, Taekyun Kim, Dae San Number Theory Combinatorics 11B73, 11B83 Spivey found a recurrence relation for the Bell numbers by using combinatorial method. The aim of this paper is to derive Spivey's type recurrence relations for the degenerate Bell polynomials and the degenerate Dowling polynomials by using the boson annihilation and creation operators satisfying the commutation relation aa+-a+a=1. In addition, we derive a Spivey's type recurrence relation for the r-Dowling polynomials. |
| title | Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators |
| topic | Number Theory Combinatorics 11B73, 11B83 |
| url | https://arxiv.org/abs/2503.02282 |