2003/06/15 by Michel Lassalle
Mathematics · #math.CO #msc:05A10 #msc:05A17 #msc:05E05 #msc:33C52 #msc:33C80
published as Trans. Amer. Math. Soc., 356 (2004), 3455-3476 · 22 pages, LaTeX, to appear in Trans. Amer. Math. Soc
arxiv created 2003/06/15 · arxiv updated 2009/11/30
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.