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

M. Ishikawa, F. Jouhet, J. Zeng

math.COarXiv:math/0401252

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.

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