A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

被引：3
|
作者：
Ishikawa, Masao [1 ]
Jouhet, Frederic
Zeng, Jiang
机构：
[1] Tottori Univ, Fac Educ, Dept Math, Tottori 6808551, Japan
[2] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2006年 / 23卷 / 04期
关键词：
symmetric functions; Hall-Littlewood polynomials; Q-series; Rogers-Ramanujan type identities;
D O I：
10.1007/s10801-006-8350-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, in particular, twelve more multiple q-identities of Rogers-Ramanujan type than those previously found by Stembridge and the last two authors.
引用
收藏
页码：395 / 412
页数：18
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