Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.13323 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910455373496320 |
|---|---|
| author | Kim, Taekyunj Kim, Dae San |
| author_facet | Kim, Taekyunj Kim, Dae San |
| contents | Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomials associated with Y. They are respectively probabilistic extensions of the degenerate r-Stirling numbers of the second and the degenerate r-Bell polynomials which are studied earlier. The aim of this paper is to obtain their properties, explicit expressions and related identities by means of generating functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials Kim, Taekyunj Kim, Dae San Number Theory 11B73, 11B83 Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomials associated with Y. They are respectively probabilistic extensions of the degenerate r-Stirling numbers of the second and the degenerate r-Bell polynomials which are studied earlier. The aim of this paper is to obtain their properties, explicit expressions and related identities by means of generating functions. |
| title | Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials |
| topic | Number Theory 11B73, 11B83 |
| url | https://arxiv.org/abs/2405.13323 |