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math.CO2018★ 1 cited
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…
math.CO2018
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…
math.CO2018
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.