Eulerian polynomials for multipermutations and signed multipermutations
Combinatorics
2021-03-09 v3
Abstract
In this paper, we study Eulerian polynomials for permutations and signed permutations of the multiset . Properties of these polynomials, including recurrence relations and unimodality are discussed. In particular, we give a unified proof of the fact that these polynomials are unimodal with modes in the middle.
Cite
@article{arxiv.1907.13082,
title = {Eulerian polynomials for multipermutations and signed multipermutations},
author = {Shi-Mei Ma and Jun Ma and Yeong-Nan Yeh},
journal= {arXiv preprint arXiv:1907.13082},
year = {2021}
}
Comments
14 pages