Combinatorics of q,r-analogues of Stirling numbers of type B
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910298731970560 |
|---|---|
| author | Bagno, Eli Garber, David |
| author_facet | Bagno, Eli Garber, David |
| contents | Stirling number of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters which realize $q$-analogues and Broder's $r$-variants of Stirling numbers of type $B$ of both kinds, which count signed set partitions and signed permutations respectively. Applications to orthogonality relations and power sums are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorics of q,r-analogues of Stirling numbers of type B Bagno, Eli Garber, David Combinatorics 05A18, 05A30 Stirling number of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters which realize $q$-analogues and Broder's $r$-variants of Stirling numbers of type $B$ of both kinds, which count signed set partitions and signed permutations respectively. Applications to orthogonality relations and power sums are given. |
| title | Combinatorics of q,r-analogues of Stirling numbers of type B |
| topic | Combinatorics 05A18, 05A30 |
| url | https://arxiv.org/abs/2401.08365 |