Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bispectral commuting difference operators for multivariable Askey-Wilson
  polynomials   We construct a commutative algebra A_z, generated by d algebraically
independent q-difference operators acting on variables z_1, z_2,..., z_d, which
is diagonalized by the multivariable Askey-Wilson polynomials P_n(z) considered
by Gasper and Rahman [6]. Iterating Sears' transformation formula, we show that
the polynomials P_n(z) possess a certain duality between z and n. Analytic
continuation allows us to obtain another commutative algebra A_n, generated by
d algebraically independent difference operators acting on the discrete
variables n_1, n_2,..., n_d, which is also diagonalized by P_n(z). This leads
to a multivariable q-Askey-scheme of bispectral orthogonal polynomials which
parallels the theory of symmetric functions.

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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga