Probabilistic degenerate Fubini polynomials associated with random variables
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916081406312448 |
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| author | Xu, Rongrong Kim, Taekyun Kim, Dae San Ma, Yuankui |
| author_facet | Xu, Rongrong Kim, Taekyun Kim, Dae San Ma, Yuankui |
| contents | Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polynomials of order $r$, namely the probabilisitc degenerate Fubini polynomials associated with Y and the probabilistic degenerate Fubini polynomials of order r associated with Y. We derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02638 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probabilistic degenerate Fubini polynomials associated with random variables Xu, Rongrong Kim, Taekyun Kim, Dae San Ma, Yuankui Probability Number Theory 11B73, 11B83 Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polynomials of order $r$, namely the probabilisitc degenerate Fubini polynomials associated with Y and the probabilistic degenerate Fubini polynomials of order r associated with Y. We derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials. |
| title | Probabilistic degenerate Fubini polynomials associated with random variables |
| topic | Probability Number Theory 11B73, 11B83 |
| url | https://arxiv.org/abs/2401.02638 |