A Combinatorial Analysis of Higher Order Generalised Geometric Polynomials: A Generalisation of Barred Preferential Arrangements
MTMT : 30926550
Date : 2020
Journal title : Discrete Mathematics
Journal volume : 343
Journal issue number : 3
Pages : 1-12
Document type : folyóiratcikk
Subject : Preferential arrangement, Barred preferential arrangement, Geometric polynomial, Természettudományok, Természettudományok/Matematika- és számítástudományok
Abstract :
Abarredpreferentialarrangementisapreferentialarrangement,ontowhichin-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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