Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A_2 Macdonald polynomials: a separation of variables   In this paper we construct a discrete linear operator $K$ which transforms
$A_2$ Macdonald polynomials into the product of two basic $3\phi_2$
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
$6\psi_6$ series. We also propose the conjecture for a transformation of
$6\psi_6$ series with different arguments.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin