A2 Macdonald polynomials: a separation of variables
Abstract
In this paper we construct a discrete linear operator K which transforms A2 Macdonald polynomials into the product of two basic 3φ2 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 66 series. We also propose the conjecture for a transformation of 66 series with different arguments.
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