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.
|State||Published - 2019|
|Event||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia|
Duration: 1 Jul 2019 → 5 Jul 2019
|Conference||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019|
|Period||1/07/19 → 5/07/19|
Bibliographical noteFunding Information:
∗email@example.com †firstname.lastname@example.org ‡email@example.com This research was supported by a grant from the Ministry of Science and Technology, Israel, and the France’s Centre National pour la Recherche Scientifique (CNRS).
© FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
- Coxeter groups
- Descent number
- Eulerian numbers
- Falling factorial
- Hyperplane arrangements
- Permutation statistics
- Stirling numbers of the second kind