Jack polynomials and some identities for partitions

Details Jack polynomials and some identities for partitions Jack polynomials and some identities for partitions

2003-06-13

arxiv.org/abs/math/0306222v2

Trans. Amer. Math. Soc., 356 (2004), 3455-3476

Mathematics

Combinatorics

22 pages, LaTeX, to appear in Trans. Amer. Math. Soc

Scientific paper

We prove an identity about partitions involving new combinatorial
coefficients. The proof given is using a generating function. As an application
we obtain the explicit expression of two shifted symmetric functions, related
with Jack polynomials. These quantities are the moments of the "alpha-content"
random variable with respect to some transition probability distributions.

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