Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined Error Estimates for the Riccati Equation with Applications to
  the Angular Teukolsky Equation   We derive refined rigorous error estimates for approximate solutions of
Sturm-Liouville and Riccati equations with real or complex potentials. The
approximate solutions include WKB approximations, Airy and parabolic cylinder
functions, and certain Bessel functions. Our estimates are applied to solutions
of the angular Teukolsky equation with a complex aspherical parameter in a
rotating black hole Kerr geometry.

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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph