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arXiv · 1908.05014

A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements

Sithembele Nkonkobe·Beáta Bényi·Roberto B. Corcino·Cristina B. Corcino
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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.

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Sithembele Nkonkobe, Beáta Bényi, Roberto B. Corcino, Cristina B. Corcino. 2019-08-14. A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements. https://arxiv.org/abs/1908.05014

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