We prove two formulae expressing the Kerov polynomial Σ k as a weighted sum over the set of noncrossing partitions of the set {1,…,k+1}. We also give a combinatorial description of a family of symmetric functions specializing in the coefficients of Σ k .
Explicit formulae for Kerov Polynomials
SENATO PULLANO, Domenico;PETRULLO, PASQUALE
2011-01-01
Abstract
We prove two formulae expressing the Kerov polynomial Σ k as a weighted sum over the set of noncrossing partitions of the set {1,…,k+1}. We also give a combinatorial description of a family of symmetric functions specializing in the coefficients of Σ k .File in questo prodotto:
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