Probabilistic degenerate poly-Bell polynomials associated with random variables
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910866718326784 |
|---|---|
| author | Xue, Pengxiang Ma, Yuankui Kim, Taekyun Kim, Dae San Zhang, Wenpeng |
| author_facet | Xue, Pengxiang Ma, Yuankui Kim, Taekyun Kim, Dae San Zhang, Wenpeng |
| contents | Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable Y, arising from the degenerate polyexponential functions, which are probabilistic extensions of degenerate versions of the poly-Bell polynomials. We derive several explicit expressions and some related identities for them. In addition, we consider the special cases that Y is the Bernoulli random variable with probability of success p or the gamma random variable with parameters 1,1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06616 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probabilistic degenerate poly-Bell polynomials associated with random variables Xue, Pengxiang Ma, Yuankui Kim, Taekyun Kim, Dae San Zhang, Wenpeng Number Theory Probability 11B73, 11B83, 60-08 Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable Y, arising from the degenerate polyexponential functions, which are probabilistic extensions of degenerate versions of the poly-Bell polynomials. We derive several explicit expressions and some related identities for them. In addition, we consider the special cases that Y is the Bernoulli random variable with probability of success p or the gamma random variable with parameters 1,1. |
| title | Probabilistic degenerate poly-Bell polynomials associated with random variables |
| topic | Number Theory Probability 11B73, 11B83, 60-08 |
| url | https://arxiv.org/abs/2503.06616 |