Abstract
Rota used the functional L to recover old properties and obtain some new formulas for the Bell numbers. Tanny used Rota’s functional L and the celebrated Worpitzky identity to obtain some expression for the ordered Bell numbers, which can be seen as an evident to the fact that the ordered Bell numbers are gamma-positive. In this paper, we extend some of Rota’s and Tanny’s results to the framework of the set partitions of Coxeter type B.
| Original language | English |
|---|---|
| Pages (from-to) | 43-48 |
| Number of pages | 6 |
| Journal | Electronic Proceedings in Theoretical Computer Science, EPTCS |
| Volume | 403 |
| DOIs | |
| State | Published - 24 Jun 2024 |
| Externally published | Yes |
| Event | 13th Conference on Random Generation of Combinatorial Structures. Polyominoes and Tilings, GASCom 2024 - Bordeaux, France Duration: 24 Jun 2024 → 28 Jun 2024 |
Bibliographical note
Publisher Copyright:© Eli Bagno and David Garber.