GENERALIZED BARRED PREFERENTIAL ARRANGEMENTS

被引：0

作者：

Adell, Jose A. ^{[1
]}

Benyi, Beata ^{[2
]}

Murali, Venkat ^{[3
]}

Nkonkobe, Sithembele ^{[3
,4
]}

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Metodos Estadist, C Pedro Cerbuna 12, Zaragoza 50009, Spain

[2] Univ Publ Serv Baja, Fac Water Sci, Dept Hydraul Engn, Bajcsy Zsilinszky Utca 12-14, H-6500 Baja, Hungary

[3] Rhodes Univ, Dept Math, ZA-6139 Grahamstown, South Africa

[4] Sol Plaatje Univ, Dept Math Sci, ZA-8301 Kimberley, South Africa

来源：

TRANSACTIONS ON COMBINATORICS | 2023年 / 12卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

barred preferential arrangements; generalized Stirling numbers; geometric polynomials; negative binomial process; IDENTITIES;

D O I：

10.22108/TOC.2022.130037.1894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a generalization of Fubini numbers. We present the combinatorial interpretation as barred preferential arrangements with some additional conditions on the blocks. We provide a proof for a generalization of Nelsen's Theorem. We consider these numbers from a probabilistic view point and demonstrate how they can be written in terms of the expectation of random descending factorial involving the negative binomial process.

引用

页码：47 / 63

页数：17

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