Generalization of Spivey's recurrence relation
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909159462535168 |
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| author | Kim, Taekyun Kim, Dae San |
| author_facet | Kim, Taekyun Kim, Dae San |
| contents | In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating function exists in some neighborhood of the origin . The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic r-Bell polynomials associated with Y. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalization of Spivey's recurrence relation Kim, Taekyun Kim, Dae San Number Theory Combinatorics 11B73, 11B83 In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating function exists in some neighborhood of the origin . The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic r-Bell polynomials associated with Y. |
| title | Generalization of Spivey's recurrence relation |
| topic | Number Theory Combinatorics 11B73, 11B83 |
| url | https://arxiv.org/abs/2404.02413 |