Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weights with both absolutely continuous and discrete components:
  Asymptotics via the Riemann-Hilbert approach   We study the uniform asymptotics for the orthogonal polynomials with respect
to weights composed of both absolutely continuous measure and discrete measure,
by taking a special class of the sieved Pollazek Polynomials as an example. The
Plancherel-Rotach type asymptotics of the sieved Pollazek Polynomials are
obtained in the whole complex plane. The Riemann-Hilbert method is applied to
derive the results. A main feature of the treatment is the appearance of a new
band consisting of two adjacent intervals, one of which is a portion of the
support of the absolutely continuous measure, the other is the discrete band.

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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom