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Jack polynomials and some identities for partitions

Michel Lassalle
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Abstract

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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Michel Lassalle. 2003-06-15. Jack polynomials and some identities for partitions. https://arxiv.org/abs/math/0306222

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