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.
- Hall-Littlewood polynomials
- Rogers-Ramanujan type identities
- Symmetric functions
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics