Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On BC type basic hypergeometric orthogonal polynomials   The five parameter family of multivariable Askey-Wilson polynomials is
studied with four parameters generically complex. The multivariable
Askey-Wilson polynomials form an orthogonal system with respect to an explicit
(in general complex) measure. A partially discrete orthogonality measure is
obtained by shifting the contour to the torus while picking up residues. A
parameter domain is given for which the partially discrete orthogonality
measure is positive. The orthogonality relations and norm evaluations for
multivariable q-Racah polynomials and multivariable big and little q-Jacobi
polynomials are proved by taking suitable limits in the orthogonality relations
for the multivariable Askey-Wilson polynomials. In particular new proofs of
several well known q-analogues of the Selberg integral are obtained.

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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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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: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs