Abstract
Using Reiner's definition of Stirling numbers of the second kind in types B and D, we generalize two well known identities concerning the classical Stirling numbers of the second kind. The first relates them with Eulerian numbers and the second uses them as entries in a transition matrix between the elements of two standard bases of the polynomial ring in one variable.
| Original language | English |
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| State | Published - 2019 |
| Externally published | Yes |
| Event | 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia Duration: 1 Jul 2019 → 5 Jul 2019 |
Conference
| Conference | 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 |
|---|---|
| Country/Territory | Slovenia |
| City | Ljubljana |
| Period | 1/07/19 → 5/07/19 |
Bibliographical note
Publisher Copyright:© FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
Keywords
- Coxeter groups
- Descent number
- Eulerian numbers
- Falling factorial
- Hyperplane arrangements
- Permutation statistics
- Stirling numbers of the second kind