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20152026
most citedA study of a family of generating functions of Nelsen-Schmidt type and some identities on restricted barred preferential arrangements

9 citations · 11 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.CO2026

Partial degenerate Stirling numbers

Beáta Bényi, Sithembele Nkonkobe

In this paper, we study some combinations of the degenerate and incomplete Stirling numbers of the second kind. We use a combinatorial approach and provide some asymptotic results.

math.CO2025

The Telephone Exchange Problem Revisited: A Combinatorial Approach

Sithembele Nkonkobe

In this study we revisit the telephone exchange problem. We discuss a generalization of the telephone exchange problem by discuss two generalizations of the Bessel polynomials. We…

math.CO2019

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

Sithembele Nkonkobe, Beáta Bényi, Roberto B. Corcino +1

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…

math.CO2019★ 2 cited

Generalised Barred Preferential Arrangements

Sithembele Nkonkobe, Venkat Murali, Béata Bényi

A barred preferential arrangement is a preferential arrangement onto which a number of identical bars are inserted in between the blocks of the preferential arrangement. In this st…

math.CO2015

On some properties and relations between restricted barred preferential arrangements, multi-poly-Bernoulli numbers and related numbers

S. Nkonkobe, V. Murali

The introduction of bars in-between blocks of an ordered set partition(preferential arrangement) results in a barred ordered set partition(barred preferential arrange- ment). Havin…

math.CO2015

On Some Identities of Barred Preferential Arrangements

S. Nkonkobe, V. Murali

A preferential arrangement of a finite set is an ordered partition. Associated with each such ordered partition is a chain of subsets or blocks endowed with a linear order. The cha…

math.CO2015★ 9 cited

A study of a family of generating functions of Nelsen-Schmidt type and some identities on restricted barred preferential arrangements

S. Nkonkobe, V. Murali

A preferential arrangement of a set is an ordered partition of the set induced with a linear order. Separation of blocks of a preferential arrangement wit…