A generalization of Kawanaka’s identity for Hall-Littlewood polynomials and applications
نویسندگان
چکیده
Recently, starting from two infinite summation formulae for Hall-Littlewood polynomials, two of the present authors [7] have generalized a method due to Macdonald [9] to obtain new finite summation formulae for these polynomials. This approach permits them to extend Stembridge’s list of multiple qseries identities of Rogers-Ramanujan type [12]. Conversely these symmetric functions identities can be viewed as a generalization of Rogers-Ramanujan identities. In view of the numerous formulae of Rogers-Ramanujan type [11]
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