Jack polynomials and some identities for partitions

被引：10

作者：

Lassalle, M ^{[1
]}

机构：

[1] Univ Marne La Vallee, Inst Gaspard Monge, CNRS, F-77454 Marne La Vallee, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 09期

关键词：

partitions; (shifted) symmetric functions; (shifted) Jack polynomials; transition probabilities;

D O I：

10.1090/S0002-9947-04-03500-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

页码：3455 / 3476

页数：22

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