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.
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页码：3455 / 3476
页数：22
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