Jack polynomials and some identities for partitions

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

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Combinatorics, 05A10, 05A17, 05E05, 33C52, 33C80

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http://salesiana.dossiersoluciones.com/handle/123456789/67794

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306222
 http://arxiv.org/abs/math/0306222
 Trans. Amer. Math. Soc., 356 (2004), 3455-3476

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arXiv