Recurrence relations for binomial-Eulerian polynomials
Combinatorics
2017-11-29 v2
Abstract
Binomial-Eulerian polynomials were introduced by Postnikov, Reiner and Williams. In this paper, properties of the binomial-Eulerian polynomials, including recurrence relations and generating functions are studied. We present three constructive proofs of the recurrence relations for binomial-Eulerian polynomials. Moreover, we give a combinatorial interpretation of the Betti number of the complement of the k-equal real hyperplane arrangement.
Keywords
Cite
@article{arxiv.1711.09016,
title = {Recurrence relations for binomial-Eulerian polynomials},
author = {Jun Ma and Shi-Mei Ma and Yeong-Nan Yeh},
journal= {arXiv preprint arXiv:1711.09016},
year = {2017}
}
Comments
14 pages