Geodesic
A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications
Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 395-412.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Mots-clés : keywords symmetric functions, Hall-Littlewood polynomials, Q-series, Rogers-Ramanujan type identities 
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     title = {A generalization of {Kawanaka's} identity for {Hall-Littlewood} polynomials and applications},
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Ishikawa, Masao; Jouhet, Frédéric; Zeng, Jiang. A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications. Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 395-412. https://geodesic-test.mathdoc.fr/item/JAC_2006__23_4_a0/