A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
Combinatorics
2019-08-15 v1
Abstract
A barred preferential arrangement is a preferential arrangement, onto which in-between the blocks of the preferential arrangement a number of identical bars are inserted. We offer a generalisation of barred preferential arrangements by making use of the generalised Stirling numbers proposed by Hsu and Shiue (1998). We discuss how these generalised barred preferential arrangements offer a unified combinatorial interpretation of geometric polynomials. We also discuss asymptotic properties of these numbers.
Keywords
Cite
@article{arxiv.1908.05014,
title = {A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements},
author = {Sithembele Nkonkobe and Beáta Bényi and Roberto B. Corcino and Cristina B. Corcino},
journal= {arXiv preprint arXiv:1908.05014},
year = {2019}
}