q -Stirling numbers of the second kind and q -Bell numbers for graphs
Copyright policy )q -Stirling numbers of the second kind and q -Bell numbers for graphs
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.
- University of Vienna Austria
q-analogues, q-Bell numbers, 101012 Kombinatorik, 101012 Combinatorics, Bell numbers, q-Fibonacci numbers, special numbers for graphs, q-Stirling numbers, Stirling numbers
q-analogues, q-Bell numbers, 101012 Kombinatorik, 101012 Combinatorics, Bell numbers, q-Fibonacci numbers, special numbers for graphs, q-Stirling numbers, Stirling numbers
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