The q-Stirling numbers of the second kind and its applications
Copyright policy )The q-Stirling numbers of the second kind and its applications
Summary: The study of \(q\)-Stirling numbers of the second kind began with \textit{L. Carlitz} [Duke Math. J. 15, 987--1000 (1948; Zbl 0032.00304)]. Following Carlitz, we derive some identities and relations related to \(q\)-Stirling numbers of the second kind which appear to be either new or else new ways of expressing older ideas more comprehensively.
- Kyungnam University Korea (Republic of)
- Jeonbuk National University Korea (Republic of)
\(q\)-Stirling numbers of the second kind, Exact enumeration problems, generating functions, Arithmetic functions; related numbers; inversion formulas, Bell and Stirling numbers, \(q\)-factorial, Combinatorial identities, bijective combinatorics
\(q\)-Stirling numbers of the second kind, Exact enumeration problems, generating functions, Arithmetic functions; related numbers; inversion formulas, Bell and Stirling numbers, \(q\)-factorial, Combinatorial identities, bijective combinatorics
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