Some applications of the \(q\)-exponential formula
The \(q\)-analogue of the well-known exponential formula, which was presented by \textit{I. M. Gessel} [Discrete Math. 40, 69-80 (1982; Zbl 0485.05004)], is given a new combinatorial interpretation. This \(q\)-exponential formula is then used to obtain \(q\)-analogues of Bell numbers and Stirling numbers of the first and second kinds.
scientific article; zbMATH DE number 935381
scientific article