Adding \pm 1 to the argument of an Hall-Littlewood polynomial

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dc.creatorLascoux, Alain
dc.date2007-09-13
dc.date.accessioned2026-07-07T08:29:21Z
dc.date.available2026-07-07T08:29:21Z
dc.descriptionShifting by \pm 1 powers sums: p_i \to p_i \pm 1 induces a transformation on symmetric functions that we detail in the case of Hall-Littlewood polynomials. By iteration, this gives a description of these polynomials in terms of plane partitions, as well as some generating functions. We recover in particular an identity of Warnaar related to Rogers-Ramanujan identities.
dc.identifierhttps://arxiv.org/abs/0709.2088
dc.identifierhttp://arxiv.org/abs/0709.2088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137937
dc.subjectCombinatorics
dc.titleAdding \pm 1 to the argument of an Hall-Littlewood polynomial
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