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

页码：395 / 412

页数：18

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