4 papers
Generalized Ordered Set Partitions
Beáta Bényi, Miguel Méndez, José L. Ramirez
In this paper, we consider ordered set partitions obtained by imposing conditions on the size of the lists, and such that the first elements are in distinct blocks, respectivel…
Restricted -Stirling Numbers and their Combinatorial Applications
Beáta Bényi, Miguel Méndez, José L. Ramírez +1
We study set partitions with distinguished elements and block sizes found in an arbitrary index set . The enumeration of these -partitions leads to the introduction o…
Some Applications of -restricted Set Partitions
Beáta Bényi, José L. Ramírez
In the paper, the authors present several new relations and applications for the combinatorial sequence that counts the possible partitions of a finite set with the restriction tha…
Poly-Bernoulli Numbers and Eulerian Numbers
Beata Benyi, Peter Hajnal
In this note we prove combinatorially some new formulas connecting poly-Bernoulli numbers with negative indices to Eulerian numbers.