3 papers
math.GM2026
Combinatorics of higher order degenerate -DERANGED Bell Numbers
Sithembele Nkonkobe
When one inserts a number of identical bars in between blocks of an ordered set partition, they obtain a barred preferential arrangement. In this study we define a new generalizati…
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…