Some applications of the \(q\)-exponential formula (Q1924369)
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scientific article; zbMATH DE number 935381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of the \(q\)-exponential formula |
scientific article; zbMATH DE number 935381 |
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Some applications of the \(q\)-exponential formula (English)
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14 October 1996
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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.
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\(q\)-analogue
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\(q\)-exponential formula
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Bell numbers
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Stirling numbers
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