A_2 Macdonald polynomials: a separation of variables

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dc.creatorMangazeev, V. V.
dc.date1995-12-04
dc.date.accessioned2026-07-07T09:16:45Z
dc.date.available2026-07-07T09:16:45Z
dc.descriptionIn this paper we construct a discrete linear operator $K$ which transforms $A_2$ Macdonald polynomials into the product of two basic $3ϕ_2$ hypergeometric series with known arguments. The action of the operator $K$ on power sums in two variables can be reduced to a generalization of one particular case of the Bailey's summation formula for a very-well-poised $6ψ_6$ series. We also propose the conjecture for a transformation of $6ψ_6$ series with different arguments.
dc.description17 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/q-alg/9512003
dc.identifierhttp://arxiv.org/abs/q-alg/9512003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153465
dc.subjectQuantum Algebra
dc.titleA_2 Macdonald polynomials: a separation of variables
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