A combinatorial interpretation of punctured partitions (Q1584656)
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scientific article; zbMATH DE number 1525309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial interpretation of punctured partitions |
scientific article; zbMATH DE number 1525309 |
Statements
A combinatorial interpretation of punctured partitions (English)
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6 February 2001
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Let \(\Gamma(n)\) be the set of permutations of \(n\) for which \(\pi(i) \geq i-1\). The authors give many examples of counting functions and polynomial generating functions that can be expressed as sums over \(\Gamma(n)\). These include exponential, rising factorial, Laguerre, Abel, inverse-Abel, and Mittag-Leffler polynomials.
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punctured partitions
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permutations
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generating functions
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polynomials
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