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

2004/01/20 by M. Ishikawa, Ishikawa, M., F. Jouhet +3
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.math/0401252

21 pages

arxiv created 2006/06/20 · arxiv updated 2009/12/01

Abstract

An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, as applications, twelve multiple q-identities of Rogers-Ramanujan type.

Related

• New Identities of Hall-Littlewood Polynomials and Rogers-Ramanujan Type
• Generalized Andrews-Gordon Identities
• The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials
• Hall polynomials, inverse Kostka polynomials and puzzles
• Adding ± 1 to the argument of an Hall-Littlewood polynomial