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

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

2004-01-20

arxiv.org/abs/math/0401252v2

Mathematics

Combinatorics

21 pages

Scientific paper

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.

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