Zsófia R. Kereskényiné Balogh and Michael J. Schlosser
q-Stirling numbers of the second kind and
q-Bell numbers for graphs
(6 pages)
Abstract.
Stirling numbers of the second kind and Bell numbers for graphs
were defined by Duncan and Peele in 2009. In a previous paper, one of us,
jointly with Nyul, extended the known results for these special numbers
by giving new identities, and provided a list of explicit expressions
for Stirling numbers of the second kind and Bell numbers
for particular graphs. In this work we introduce
q-Stirling numbers of the second kind and
q-Bell numbers for graphs, and provide a number of explicit examples.
Connections are made to q-binomial coefficients and q-Fibonacci
numbers.
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