@MISC{Lassalle_jackpolynomials, author = {Michel Lassalle}, title = {JACK POLYNOMIALS AND SOME IDENTITIES FOR PARTITIONS}, year = {} }
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Abstract
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 “α-content” random variable with respect to some transition probability distributions. 1.