Journal of Algebraic Combinatorics
Volume 23, Number 4, 395-412, DOI: 10.1007/s10801-006-8350-1

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

Masao Ishikawa, Frédéric Jouhet and Jiang Zeng

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Abstract

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.

Keywords  Symmetric functions - Hall-Littlewood polynomials - Q-series - Rogers-Ramanujan type identities

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