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

  • Authors:

  • Masao Ishikawa;Frédéric Jouhet;Jiang Zeng

  • Affiliations:

  • Department of Mathematics, Faculty of Education Tottori University, Tottori, Japan 680-8551;Institut Camille Jordan, Université Claude Bernard (Lyon I) 43, Villeurbanne Cedex, France 69622;Institut Camille Jordan, Université Claude Bernard (Lyon I) 43, Villeurbanne Cedex, France 69622

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2006

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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.