\(p,q\)-Stirling numbers and set partition statistics (Q809080)
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scientific article; zbMATH DE number 4210145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p,q\)-Stirling numbers and set partition statistics |
scientific article; zbMATH DE number 4210145 |
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\(p,q\)-Stirling numbers and set partition statistics (English)
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1991
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The authors have obtained bijections on restricted growth functions and rook placements on stairstep Ferrers boards to show that \(q\)-Stirling numbers of the second kind, described by Gould, arise as generating functions for various statistics on set partitions. Two variable \(p,q\)-Stirling numbers are also described and these are the generating functions of the joint distributions of pairs of statistics.
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Stirling numbers
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set partitions
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