Jack polynomials and some identities for partitions
组合数学
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0306222,
title = {Jack polynomials and some identities for partitions},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:math/0306222},
year = {2007}
}
备注
22 pages, LaTeX, to appear in Trans. Amer. Math. Soc